Celebratio Mathematica

Albert S. Schwarz

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Complete Bibliography

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N. S. Ramm and A. S. Švarc: “Geo­met­riq blizosti, uni­form­naq geo­met­riq i to­po­lo­giq” [Geo­metry of prox­im­ity, uni­form geo­metry and to­po­logy], Mat. Sb., Nov. Ser. 33(75) : 1 (1953), pp. 157–​180. MR 61368 Zbl 0050.​39101 article

A. S. Švarc: “Ho­mo­lo­gies of the spinor group,” Dokl. Akad. Nauk SSSR 104 (1955), pp. 26–​29. MR 74829 Zbl 0068.​37002 article

A. S. Švarc: “On the met­ric or­der of closed sets in Eu­c­lidean space” [O met­richeskom por­qdke zamknutjx mnozhestv ävk­lidova pros­tran­stva], Mat. Sb., Nov. Ser. 36(78) : 2 (1955), pp. 263–​270. MR 70170 Zbl 0064.​17002 article

A. S. Schwarz: “A volume in­vari­ant of cov­er­ings,” Dok­lady Akad. Nauk SSSR 105 (1955), pp. 32–​34. In Rus­si­an. Zbl 0066.​15903 article

A. S. Švarc: “Go­mo­lo­gii pros­tran­stv zamknutjx krivjx” [Ho­mo­logy of spaces of closed curves], Dokl. Akad. Nauk SSSR 117 : 5 (1957), pp. 769–​772. MR 100874 Zbl 0079.​17003 article

V. A. Rohlin and A. S. Švarc: “O kom­bin­at­or­noy in­vari­ant­nosti klas­sov Pon­trq­gina” [On the com­bin­at­or­i­al in­vari­ance of the Pontry­agin classes], Dokl. Akad. Nauk SSSR 114 : 3 (1957), pp. 490–​493. MR 102070 Zbl 0078.​36803 article

A. S. Švarc: “On a prob­lem of Sikor­skiĭ” [K odnoy za­d­ache Sikor­skogo], Us­pekhi Mat. Nauk 12 : 4(76) (1957), pp. 215. MR 89397 Zbl 0078.​14904 article

A. S. Švarc: “Neko­tor­je ocen­ki roda to­po­lo­gicheskogo pros­tran­stva v smjsle Krasnosel’skogo” [Some es­tim­ates of the genus of a to­po­lo­gic­al space in the sense of Krasnosel’skiĭ], Us­pekhi Mat. Nauk 12 : 4(76) (1957), pp. 209–​214. MR 90055 Zbl 0078.​36402 article

A. S. Švarc: “Rod rassloen­nogo pros­tran­stva” [The genus of a fiber space], Dokl. Akad. Nauk SSSR 119 : 2 (1958), pp. 219–​222. MR 102812 Zbl 0085.​37703 article

A. S. Švarc: “O geode­zicheskix dugax na rim­anovjx mno­goo­braziqx” [Geodes­ic arcs on Riemann man­i­folds], Us­pekhi Mat. Nauk 13 : 6(84) (1958), pp. 181–​184. MR 102076 Zbl 0086.​36302 article

A. S. Schwarz: “On the genus of a fiber space,” Dok­lady Akad. Nauk SSSR 126 (1959), pp. 719–​722. In Rus­si­an. Zbl 0087.​38204 article

A. S. Švarc: “Go­mo­lo­gii pros­tran­stv zamknutjx krivjx” [Ho­mo­logy of spaces of closed curves], Tr. Mosk. Mat. O.-va 9 (1960), pp. 3–​44. MR 133824 Zbl 0115.​17001 article

A. S. Shvarts: “Sta­bil­ity of sta­tion­ary val­ues,” Sov. Math., Dokl. 1 (1960), pp. 439–​441. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Dokl. Akad. Nauk SSSR 131:6 (1960). Zbl 0094.​08203 article

A. S. Švarc: “Us­toychivost’sta­cion­arnjx zn­achen­iy” [Sta­bil­ity of sta­tion­ary val­ues], Dokl. Akad. Nauk SSSR 131 : 6 (1960), pp. 1276–​1278. An Eng­lish trans­la­tion was pub­lished in Sov. Math., Dokl. 1 (1960). MR 163329 article

A. S. Švarc: “K go­mo­topicheskoy teorii rassloen­njx pros­tran­stv” [On the ho­mo­topy the­ory of fiber spaces], Dokl. Akad. Nauk SSSR 141 : 1 (1961), pp. 51–​54. An Eng­lish trans­la­tion was pub­lished in Sov. Math., Dokl. 2 (1961). MR 142124 article

A. S. Švarc: “O neko­tor­jx pon­qtiqx, svqz­an­njx s pon­qtiem roda rassloen­nogo pros­tran­stva” [On some con­cepts re­lated to the concept of the genus of a fibre space], Dokl. Akad. Nauk SSSR 136 : 2 (1961), pp. 301–​303. An Eng­lish trans­la­tion was pub­lished in Sov. Math., Dokl. 2 (1961). MR 131879 Zbl 0096.​37705 article

A. S. Švarc: “Go­mo­topicheskaq dvoystven­nost’dlq pros­tran­stva s grup­poy op­er­at­orov” [Ho­mo­topy du­al­ity for a space with a group of op­er­at­ors], Dokl. Akad. Nauk SSSR 136 : 1 (1961), pp. 43–​46. An Eng­lish trans­la­tion was pub­lished in Sov. Math., Dokl. 2 (1961). MR 132547 article

A. S. Švarc: “Rod rassloen­nogo pros­tran­stva” [The genus of a fibre space], Tr. Mosk. Mat. O.-va 10 (1961), pp. 217–​272. An Eng­lish trans­la­tion was pub­lished in Am. Math. Soc. Transl., Ser. 2 55 (1966),. MR 154284 article

A. S. Shvarts: “Ho­mo­top­ic du­al­ity for spaces with a group of op­er­at­ors,” Sov. Math., Dokl. 2 (1961), pp. 32–​35. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Dokl. Akad. Nauk SSSR 136:1 (1961). Zbl 0096.​37704 article

A. S. Shvarts: “On the ho­mo­topy the­ory of fiber spaces,” Sov. Math., Dokl. 2 (1961), pp. 1405–​1408. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Dokl. Akad. Nauk SSSR 141:1 (1961). Zbl 0113.​17102 article

D. B. Fuks and A. S. Švarc: “K go­mo­topicheskoy teorii funk­t­orov v kat­egorii to­po­lo­gicheskix pros­tran­stv” [On the ho­mo­topy the­ory of func­tors in the cat­egory of to­po­lo­gic­al spaces], Dokl. Akad. Nauk SSSR 143 : 3 (1962), pp. 543–​546. An Eng­lish trans­la­tion was pub­lished in Sov. Math., Dokl. 3 (1962). MR 137116 article

A. S. Švarc: “Rod rassloen­nogo pros­tran­stva” [The genus of a fibre space], Tr. Mosk. Mat. O.-va 11 (1962), pp. 99–​126. An Eng­lish trans­la­tion was pub­lished in Am. Math. Soc. Transl., Ser. 2 55 (1966),. MR 151982 article

D. B. Fuks and A. S. Shvarts: “On the ho­mo­topy the­ory of func­tors in the cat­egory of to­po­lo­gic­al spaces,” Sov. Math., Dokl. 3 (1962), pp. 444–​447. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Dokl. Akad. Nauk SSSR 143:3 (1962). Zbl 0126.​18504 article

A. S. Švarc: “Funk­t­orj v kat­egoriqx banax­ovjx pros­tran­stv” [Func­tors in the cat­egor­ies of Banach spaces], Dokl. Akad. Nauk SSSR 149 : 1 (1963), pp. 44–​47. An Eng­lish trans­la­tion was pub­lished in Sov. Math., Dokl. 4 (1963). MR 154087 article

A. S. Švarc: “Dvoystven­nost’funk­t­orov” [Du­al­ity of func­tors], Dokl. Akad. Nauk SSSR 148 : 2 (1963), pp. 288–​291. An Eng­lish trans­la­tion was pub­lished in Sov. Math., Dokl. 4 (1963). MR 168629 article

A. S. Shvarts: “Func­tors in Banach space cat­egor­ies,” Sov. Math., Dokl. 4 (1963), pp. 317–​320. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Dokl. Akad. Nauk SSSR 149:1 (1963). Zbl 0124.​06601 article

A. S. Shvarts: “Du­al­ity of func­tors,” Sov. Math., Dokl. 4 (1963), pp. 89–​92. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Dokl. Akad. Nauk SSSR 148:2 (1963). Zbl 0168.​26803 article

A. S. Švarc: “K go­mo­topicheskoy to­po­lo­gii banax­ovjx pros­tran­stv” [On the ho­mo­top­ic to­po­logy of Banach spaces], Dokl. Akad. Nauk SSSR 154 : 1 (1964), pp. 61–​63. An Eng­lish trans­la­tion was pub­lished in Sov. Math., Dokl. 5 (1964). MR 160095 article

B. S. Mityagin and A. S. Shvarts: “Func­tors in cat­egor­ies of Banach spaces” [Funk­t­orj v kat­egoriqx banax­ovjx pros­tran­stv], Us­pekhi Mat. Nauk 19 : 2(116) (1964), pp. 65–​130. An Eng­lish trans­la­tion was pub­lished in Russ. Math. Surv. 19:2 (1964). MR 166593 article

B. S. Mityagin and A. S. Shvarts: “Func­tors in cat­egor­ies of Banach spaces,” Russ. Math. Surv. 19 : 2 (April 1964), pp. 65–​127. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Us­pekhi Mat. Nauk 19:2(116) (1964). Zbl 0129.​08205 article

A. S. Shvarts: “The ho­mo­top­ic to­po­logy of Banach spaces,” Sov. Math., Dokl. 5 (1964), pp. 57–​59. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Dokl. Akad. Nauk SSSR 154:1 (1964). Zbl 0181.​39904 article

L. M. Kiss­ina and A. S. Švarc: “K vo­prosu ob opis­anii dvoystven­nogo funk­t­ora” [On the ques­tion of de­scrip­tion of the du­al­ity func­tor], Dokl. Akad. Nauk SSSR 167 : 2 (1966), pp. 282–​285. MR 219065 article

A. S. Švarc: “Go­mo­lo­gii pros­tran­stv gladkix vlozhen­iy” [Ho­mo­logy of spaces of smooth em­bed­dings], Dokl. Akad. Nauk SSSR 167 : 1 (1966), pp. 41–​44. An Eng­lish trans­la­tion was pub­lished in Sov. Math., Dokl. 7 (1966). MR 208612 article

R. S. Pokaz­eeva and A. S. Švarc: “Dvoystven­nost’funk­t­orov” [Du­al­ity of func­tors], Mat. Sb., Nov. Ser. 71(113) : 3 (1966), pp. 357–​385. An Eng­lish trans­la­tion was pub­lished Am. Math. Soc., Trans­lat., II. Ser. 73 (1968). MR 220650 article

A. S. Shvarts: “Ho­mo­logy of spaces of smooth em­bed­dings,” Sov. Math., Dokl. 7 (1966), pp. 339–​342. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Dokl. Akad. Nauk SSSR 167:1 (1966). Zbl 0149.​20702 article

A. S. Shvarts: “The genus of a fiber space, I, II,” pp. 49–​140 in El­ev­en pa­pers on to­po­logy and al­gebra. Amer­ic­an Math­em­at­ic­al So­ci­ety Trans­la­tions. Series 2 55. 1966. Eng­lish trans­la­tion of two-part Rus­si­an ori­gin­al pub­lished in Tr. Mosk. Mat. O.-va 19 (1961) and Tr. Mosk. Mat. O.-va 11 (1962). Zbl 0178.​26202 incollection

V. V. Kuznecov and A. S. Švarc: “Dvoystven­nost’funk­t­orov i dvoystven­nost’kat­egor­iy” [Du­al­ity of func­tors and du­al­ity of cat­egor­ies], Us­pekhi Mat. Nauk 22 : 1(133) (1967), pp. 168–​170. MR 204491 article

A. S. Shvarts: “Novaq for­mu­lirovka kvanto­voy teorii” [A new for­mu­la­tion of quantum the­ory], Dokl. Akad. Nauk SSSR 173 : 4 (1967), pp. 793–​796. article

A. S. Schwarz: “A new for­mu­la­tion of the quantum the­ory,” Dokl. Akad. Nauk SSSR 173 : 4 (1967), pp. 793–​796. In Rus­si­an. article

V. V. Kuznet­sov and A. S. Shvarts: “Du­al­ity of func­tors and du­al­ity of cat­egor­ies,” Siberi­an Math. J. 9 : 4 (July 1968), pp. 627–​636. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Sib. Mat. Zh. 9:4 (1968). article

V. V. Kuznecov and A. S. Švarc: “Dvoystven­nost’funk­t­orov i dvoystven­nost’kat­egor­iy” [Du­al­ity of func­tors and du­al­ity of cat­egor­ies], Sib. Mat. Zh. 9 : 4 (1968), pp. 840–​856. An Eng­lish trans­la­tion was pub­lished in Siberi­an Math. J. 9:4 (1968). MR 236241 Zbl 0186.​03002 article

A. S. Shvarts: “O postan­ovke za­dach stat­isticheskoy fiz­iki” [On the state­ment of prob­lems in stat­ist­ic­al phys­ics], Us­pekhi Mat. Nauk 23 : 2(140) (1968), pp. 217–​218. article

R. S. Pokaz­eeva and A. S. Švarc: “Du­al­ity of func­tors,” pp. 1–​35 in Four­teen pa­pers on al­gebra, to­po­logy, al­geb­ra­ic and dif­fer­en­tial geo­metry. Amer­ic­an Math­em­at­ic­al So­ci­ety Trans­la­tions. Series 2 73. 1968. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished Mat. Sb. 71(113):3 (1966). Zbl 0208.​02803 incollection

Yu. S. Ty­up­kin and A. S. Schwartz: “Za­da­chi stat­isticheskoy fiz­iki v sil’no vjtqnutjx tel­ax” [Prob­lems of stat­ist­ic­al phys­ics in strongly pro­late bod­ies], Dokl. Akad. Nauk SSSR 185 : 2 (1969), pp. 299–​301. article

V. N. Likhachev, Yu. S. Ty­up­kin, and A. S. Shvarts: “The adia­bat­ic \( S \)-mat­rix and qua­si­particles,” The­or­et. and Math. Phys. 2 : 1 (January 1970), pp. 1–​20. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Teor. Mat. Fiz. 2:1 (1970). article

V. N. Likhachev, Yu. S. Ty­up­kin, and A. S. Schwartz: “Adia­baticheskaq \( S \)-mat­rica i kva­zichasticj” [Adia­bat­ic \( S \)-mat­rix and qua­si­particles], Teor. Mat. Fiz. 2 : 1 (1970), pp. 3–​29. An Eng­lish trans­la­tion was pub­lished in The­or­et. and Math. Phys. 2:1 (1970). article

A. S. Švarc: “O postan­ovke za­dach stat­isticheskoy fiz­iki” [On the state­ment of prob­lems in stat­ist­ic­al phys­ics], Tr. Mosk. Mat. O.-va 22 (1970), pp. 127–​160. MR 353876 article

V. V. Kuznecov and A. S. Švarc: “Funk­t­orj v kat­egorii vek­t­ornjx pros­tran­stv” [Func­tors in the cat­egory of vec­tor spaces], Dokl. Akad. Nauk SSSR 196 : 1 (1971), pp. 40–​43. An Eng­lish trans­la­tion was pub­lished in Sov. Math., Dokl. 12 (1971). MR 272855 article

V. V. Kuznet­sov and A. S. Shvarts: “Func­tors in the cat­egory of vec­tor spaces,” So­viet Math­em­at­ics. Dok­lady 12 (1971), pp. 41–​45. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Dokl. Akad. Nauk SSSR 196:1 (1971). Zbl 0249.​18012 article

V. N. Likhachev, Yu. S. Ty­up­kin, and A. S. Shvarts: “Adia­bat­ic the­or­em in quantum field the­ory,” The­or­et. and Math. Phys. 10 : 1 (January 1972), pp. 42–​55. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Teor. Mat. Fiz. 10:1 (1972). article

V. N. Likhachev, Yu. S. Ty­up­kin, and A. S. Shvarts: “Adia­baticheskaq teor­ema v kvanto­voy teorii polq” [Adia­bat­ic the­or­em in quantum field the­ory], Teor. Mat. Fiz. 10 : 1 (1972), pp. 63–​84. An Eng­lish trans­la­tion was pub­lished in The­or­et. and Math. Phys. 10:1 (1972). MR 475468 article

Yu. S. Ty­up­kin and A. Shvarts: “On the adia­bat­ic change of a sta­tion­ary state,” The­or­et. and Math. Phys. 10 : 2 (February 1972), pp. 172–​175. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Teor. Mat. Fiz. 10:2 (1972). article

Yu. S. Ty­up­kin and A. Shvarts: “Ob adia­baticheskom iz­men­enii sta­cion­ar­nogo sostoq­niq” [On the adia­bat­ic change of a sta­tion­ary state], Teor. Mat. Fiz. 10 : 2 (1972), pp. 259–​263. An Eng­lish trans­la­tion was pub­lished in The­or­et. and Math. Phys. 10:2 (1972). article

V. A. Fateev and A. S. Švarc: “Odevaüwie op­er­at­orj v kvanto­voy teorii polq” [Dress­ing op­er­at­ors in quantum field the­ory], Dokl. Akad. Nauk SSSR 209 : 1 (1973), pp. 66–​69. An Eng­lish trans­la­tion was pub­lished in So­viet Phys­ics. Dok­lady 18 (1973). MR 426693 article

V. A. Fateev and A. S. Schwarz: “K ak­siomaticheskoy teorii rasseq­niq” [On ax­io­mat­ic scat­ter­ing the­ory], Teor. Mat. Fiz. 14 : 2 (1973), pp. 152–​169. An Eng­lish trans­la­tion was pub­lished in The­or­et. and Math. Phys. 14:2 (1973). article

V. A. Fateev and A. S. Shvarts: “On ax­io­mat­ic scat­ter­ing the­ory,” The­or­et. and Math. Phys. 14 : 2 (February 1973), pp. 112–​124. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Teor. Mat. Fiz. 14:2 (1973). Zbl 0274.​47006 article

V. A. Fateev and A. S. Švarc: “Dress­ing op­er­at­ors in quantum field the­ory,” Sov. Phys., Dokl. 18 (1973), pp. 165–​167. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Dokl. Akad. Nauk SSSR 209:1 (1973). Zbl 0288.​47009 article

A. S. Schwarz: “Adia­bat­ic the­or­em in ax­io­mat­ic quantum field the­ory,” Comm. Math. Phys. 39 : 1 (March 1974), pp. 33–​48. MR 363291 article

Yu. S. Ty­up­kin, V. A. Fateev, and A. S. Shvarts: “Con­nec­tion between particle-like solu­tions of clas­sic­al equa­tions and quantum particles,” So­viet J. Nuc­le­ar Phys. 22 : 3 (1975), pp. 321–​325. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Jadernaja Fiz. 22:3 (1975). MR 406170 article

A. A. Be­lav­in, A. M. Polyakov, A. S. Schwartz, and Yu. S. Ty­up­kin: “Pseudo­particle solu­tions of the Yang–Mills equa­tions,” Phys. Lett. B 59 : 1 (1975), pp. 85–​87. MR 434183 article

J. S. Tjup­kin, V. A. Fateev, and A. S. Švarc: “O klas­sicheskom predele mat­ricj rasseq­niq v kvanto­voy teorii polq” [The clas­sic­al lim­it of the scat­ter­ing mat­rix in quantum field the­ory], Dokl. Akad. Nauk SSSR 221 : 1 (1975), pp. 70–​73. MR 378641 article

A. S. Shvarts: Matem­aticheskie os­novj kvanto­voy teorii polq [The math­em­at­ic­al found­a­tions of quantum field the­ory]. At­om­izdat (Mo­scow), 1975. An Eng­lish-lan­guage book with equi­val­ent title pub­lished by the au­thor in 2020, pre­sum­ably based on this. MR 468857 book

A. S. Švarc: “Suwest­vovanie solitonov i obob­wen­njx solitonov u odnomernjx nelineyn­jx uravn­en­iy” [The ex­ist­ence of solitons and gen­er­al­ized solitons in one-di­men­sion­al non­lin­ear equa­tions], Teor. Mat. Fiz. 24 : 3 (1975), pp. 333–​346. An Eng­lish trans­la­tion was pub­lished in The­or­et. and Math. Phys. 24:3 (1975). MR 487096 article

A. S. Shvarts: Élementj kvanto­voy teorii polq: Bozon­nje vzaimodey stviq [Ele­ments of quantum field the­ory: Bo­son in­ter­ac­tions]. At­om­izdat (Mo­scow), 1975. MR 489505 book

A. S. Shvarts: “Ex­ist­ence of solitons and gen­er­al­ized solitons for one-di­men­sion­al non­lin­ear equa­tions,” The­or­et. and Math. Phys. 24 : 3 (September 1975), pp. 868–​878. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Teor. Mat. Fiz. 24:3 (1975). article

Yu. S. Ty­up­kin, V. A. Fateev, and A. S. Shvarts: “Con­nec­tion between particle-like solu­tions of clas­sic­al equa­tions and quantum particles,” Jadernaja Fiz. 22 : 3 (1975), pp. 622–​631. An Eng­lish trans­la­tion was pub­lished in So­viet J. Nuc­le­ar Phys. 22:3 (1975). article

A. Schwarz, V. Fateev, and Yu. Ty­up­kin: To­po­lo­gic­ally non-trivi­al particles in quantum field the­ory. Tech­nic­al re­port 157, Lebedev In­sti­tute, 1975. In Rus­si­an. techreport

A. S. Schwarz, Yu. Ty­up­kin, and V. Fateev: “On to­po­lo­gic­ally non-trivi­al particles in quantum field the­ory,” Pisma Zh. Èksper. Teor­et. Fiz. 22 (1975), pp. 192–​194. In Rus­si­an; trans­lated in­to Eng­lish in JETP Let­ters 22:3 (1975), 88–89. article

A. S. Schwarz, Yu. Ty­up­kin, and V. Fateev: “On the ex­ist­ence of heavy particles in gauge fields the­or­ies,” Pisma Zh. Èksper. Teor­et. Fiz. 21 (1975), pp. 91–​93. In Rus­si­an. article

J. S. Tjup­kin, V. A. Fateev, and A. S. Švarc: “CHasti­ce­podob­n­je reshe­niq uravn­en­iy kal­ib­ro­voch­njx teor­iy polq” [Particle-like solu­tions of the equa­tions of gauge the­or­ies], Teor. Mat. Fiz. 26 : 3 (1976), pp. 397–​402. An Eng­lish trans­la­tion was pub­lished in The­or­et. and Math. Phys. 26:3 (1976). MR 449236 article

A. S. Schwarz: “Mag­net­ic mono­poles in gauge the­or­ies,” Nuc­le­ar Phys. B 112 : 2 (September 1976), pp. 358–​364. MR 416313 article

A. S. Schwarz: “To­po­lo­gic­ally non­trivi­al solitons of clas­sic­al equa­tions and their role in quantum field the­ory,” pp. 224–​240 in Non­loc­al, non­lin­ear and non­renor­mal­iz­able field the­or­ies: Pro­ceed­ings of the 4th in­ter­na­tion­al sym­posi­um on non­loc­al field the­or­ies (Alushta, USSR, 20–28 April 1976). Edi­ted by D. I. Blokh­int­sev. Joint In­sti­tute For Nuc­le­ar Re­search (Dubna, USSR), 1976. MR 0456147 incollection

Yu. S. Ty­up­kin, V. A. Fateev, and A. S. Shvarts: “Particle-like solu­tions of the equa­tions of gauge the­or­ies,” The­or­et. and Math. Phys. 26 : 3 (March 1976), pp. 270–​273. Eng­lish trans­la­tion of Rus­si­an ori­gi­anl pub­lished in Teor. Mat. Fiz. 26:3 (1976). article

A. Schwarz, V. Fateev, and Yu. Ty­up­kin: On the particle-like solu­tions in the pres­ence of fer­mi­ons. Tech­nic­al re­port 155, Lebedev In­sti­tute, 1976. In Rus­si­an. techreport

A. S. Schwarz: “Mag­net­ic mono­poles in gauge field the­or­ies,” Us­pekhi Matem­aticheskikh Nauk (Rus­si­an Math­em­at­ic­al Sur­veys) 31 : 3 (1976), pp. 248–​258. In Rus­si­an. article

A. S. Schwarz: “To­po­lo­gic­ally non­trivi­al solu­tions of clas­sic­al equa­tions and their role in quantum field the­ory,” pp. 224–​240 in Non­loc­al, non­lin­ear and non­renor­mal­iz­able field the­or­ies (Proc. Fourth In­ter­nat. Sym­pos. Non­loc­al Field The­or­ies) (Alushta, 1976). Edi­ted by D. I. Blokh­int­sev. 1976. In Rus­si­an. MR 456147 inproceedings

A. S. Schwarz: “On reg­u­lar solu­tions of Eu­c­lidean Yang–Mills equa­tions,” Phys. Lett. B 67 : 2 (1977), pp. 172–​174. MR 443673 article

A. S. Schwarz: “On sym­met­ric gauge fields,” Comm. Math. Phys. 56 : 1 (1977), pp. 79–​86. MR 457641 Zbl 0361.​53030 article

V. N. Ro­man­ov, A. S. Schwarz, and Yu. S. Ty­up­kin: “On spher­ic­ally sym­met­ric fields in gauge the­or­ies,” Nuc­le­ar Phys. B 130 : 2 (1977), pp. 209–​220. MR 496156 article

A. S. Schwarz: “On quantum fluc­tu­ations of in­stan­tons,” Lett. Math. Phys. 2 : 3 (1978), pp. 201–​205. MR 495474 Zbl 0383.​70016 article

V. N. Ro­man­ov, I. V. Fro­lov, and A. S. Švarc: “O sfericheski-sim­met­rich­njx soliton­ax” [Spher­ic­ally sym­met­ric solitons], Teor. Mat. Fiz. 37 : 3 (1978), pp. 305–​318. An Eng­lish trans­la­tion was pub­lished in The­or. Math. Phys. 37:3 (1978). MR 524695 article

A. S. Schwarz: “The par­ti­tion func­tion of de­gen­er­ate quad­rat­ic func­tion­al and Ray–Sing­er in­vari­ants,” Lett. Math. Phys. 2 : 3 (1978), pp. 247–​252. MR 676337 Zbl 0383.​70017 article

V. N. Ro­man­ov, I. V. Fro­lov, and A. S. Schwarz: “Spher­ic­ally sym­met­ric solitons,” The­or. Math. Phys. 37 : 3 (1978), pp. 1038–​1046. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Teor. Mat. Fiz. 37:3 (1978). article

A. S. Schwarz and I. Fro­lov: “Con­tri­bu­tion of in­stan­tons to the cor­rel­a­tion func­tions of a Heis­en­berg fer­ro­mag­net,” Pisma Zh. Èksper. Teor­et. Fiz. 28 (1978), pp. 274–​276. In Rus­si­an; trans­lated in JETP Let­ters 28, p. 249. article

V. A. Fateev, I. V. Fro­lov, and A. S. Shvarts: “Kvantovye fluk­tu­at­sii in­stan­tonov v dvumernykh neline­jnykh teor­iyakh” [Quantum fluc­tu­ations of in­stan­tons in two-di­men­sion­al non­lin­ear the­or­ies], Yadernaya Fiz. 30 : 4 (1979), pp. 1134–​1147. An Eng­lish trans­la­tion was pub­lished in Sov. J. Nucl. Phys. 30:4 (1979). MR 576531 article

A. A. Be­lav­in, V. A. Fateev, A. S. Schwarz, and Yu. S. Ty­up­kin: “Quantum fluc­tu­ations of multi-in­stan­ton solu­tions,” Nuc­le­ar Phys. B 83 : 3–​4 (May 1979), pp. 317–​320. article

V. A. Fateev, I. V. Fro­lov, and A. S. Shvarts: “Quantum fluc­tu­ations of in­stan­tons in two-di­men­sion­al non­lin­ear the­or­ies,” Sov. J. Nucl. Phys. 30 : 4 (1979). Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Yadernaya Fiz. 30:4 (1979). article

V. A. Fateev, I. V. Fro­lov, and A. S. Schwarz: “Quantum fluc­tu­ations of in­stan­tons in the non­lin­ear \( \sigma \) mod­el,” Nuc­le­ar Phys. B 154 : 1 (July 1979), pp. 1–​20. article

I. V. Fro­lov and A. S. Schwarz: “On the in­stan­ton con­tri­bu­tion in eu­c­lidean green func­tions,” Phys. Lett. B 80 : 4–​5 (1979), pp. 406–​409. article

A. S. Schwarz: “In­stan­tons and fer­mi­ons in the field of in­stan­ton,” Comm. Math. Phys. 64 : 3 (1979), pp. 233–​268. MR 520092 Zbl 0406.​58032 article

A. S. Schwarz: “The par­ti­tion func­tion of a de­gen­er­ate func­tion­al,” Comm. Math. Phys. 67 : 1 (1979), pp. 1–​16. MR 535228 Zbl 0429.​58015 article

V. N. Ro­man­ov and A. S. Švarc: “An­om­alii i ällipt­icheskie op­er­at­orj” [An­om­alies and el­lipt­ic op­er­at­ors], Teor. Mat. Fiz. 41 : 2 (1979), pp. 190–​204. An Eng­lish trans­la­tion was pub­lished in The­or. Math. Phys. 41:2 (1979). MR 555848 article

V. N. Ro­man­ov and A. S. Schwarz: “An­om­alies and el­lipt­ic op­er­at­ors,” The­or. Math. Phys. 41 : 2 (November 1979), pp. 967–​977. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Teor. Mat. Fiz. 41:2 (1979). article

A. S. Schwarz, A. Be­lav­in, V. Fateev, and Yu. Ty­up­kin: “Quantum fluc­tu­ations of multi-in­stan­tons solu­tions,” Phys­ics Let­ters B 83 : 3–​4 (1979), pp. 317–​320. article

A. S. Schwarz, V. Fateev, and I. Fro­lov: “Quantum fluc­tu­ations of in­stan­tons in the non-lin­ear \( \sigma \)-mod­el,” Nuc­le­ar Phys­ics B 154 (1979), pp. 1–​20. article

A. S. Schwarz and I. Fro­lov: “On the in­stan­ton con­tri­bu­tion in Eu­c­lidean Green func­tions,” Phys­ics Let­ters B 80 : 4–​5 (1979), pp. 406–​409. article

V. A. Fateev, I. V. Fro­lov, and A. S. Schwarz: “Quantum fluc­tu­ations of in­stan­tons in a two-di­men­sion­al non­lin­ear an­iso­trop­ic sigma-mod­el,” Yadernaya Fiz. 32 : 1 (1980), pp. 299–​300. An Eng­lish trans­la­tion was pub­lished in Sov. J. Nucl. Phys. 32:1 (1980). MR 618462 article

V. A. Fateev, I. V. Fro­lov, and A. S. Schwarz: “Quantum fluc­tu­ations of in­stan­tons in a two-di­men­sion­al non­lin­ear an­iso­trop­ic sigma-mod­el,” Sov. J. Nucl. Phys. 32 : 1 (1980). Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Yadernaya Fiz. 32:1 (1980). article

O. M. Khu­daver­d­i­an and A. S. Schwarz: “A few com­ments on the string rep­res­ent­a­tion of gauge fields,” Phys. Lett. B 91 : 1 (March 1980), pp. 107–​110. article

A. S. Schwarz: “Are the field and space vari­ables on an equal foot­ing?,” Nuc­le­ar Phys. B 171 : 1–​2 (1980), pp. 154–​166. MR 582926 article

V. N. Ro­man­ov, V. A. Fateev, and A. S. Schwarz: “Mag­nit­nye mono­pol­ii v ed­inykh teor­iyakh ehlektro­mag­nit­nogo, slabogo i sil’nogo vzaimod­ejstviya” [Mag­net­ic mono­poles in the uni­fied the­or­ies of elec­tro­mag­net­ic, weak, and strong in­ter­ac­tions], Yadernaya Fiz. 32 : 4 (1980), pp. 1138–​1141. An Eng­lish trans­la­tion was pub­lished in Sov. J. Nucl. Phys. 32:4 (1980). MR 624047 article

V. N. Ro­man­ov, V. A. Fateev, and A. S. Schwarz: “Mag­net­ic mono­poles in the uni­fied the­or­ies of elec­tro­mag­net­ic, weak, and strong in­ter­ac­tions,” Sov. J. Nucl. Phys. 32 : 4 (1980). Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Yadernaya Fiz. 32:4 (1980). article

A. S. Schwarz and Yu. S. Ty­up­kin: “Vor­tices in uni­fied the­or­ies of weak and elec­tro­mag­net­ic in­ter­ac­tions,” Phys. Lett. B 90 : 1–​2 (February 1980), pp. 135–​137. article

V. A. Fateev, I. V. Fro­lov, A. S. Schwarz, and Yu. S. Ty­up­kin: “Quantum fluc­tu­ations of in­stan­tons,” Sov. Sci. Rev., Sect. C 2 (1981), pp. 1–​51. MR 659266 Zbl 0535.​58026 article

O. M. Khu­daverdy­an and A. S. Shvarts: “Mul­ti­plic­at­ive func­tion­als and gauge fields,” The­or. Math. Phys. 46 : 2 (February 1981), pp. 124–​132. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Teor. Mat. Fiz. 46:2 (1981). article

O. M. Hu­daver­d­jan and A. S. Švarc: “Mul­ti­plic­at­ive func­tion­als and gauge fields” [Mul’ti­p­likat­ivn­je funk­cion­alj i kal­ib­ro­voch­nje polq], Teor. Mat. Fiz. 46 : 2 (1981), pp. 187–​198. An Eng­lish trans­la­tion was pub­lished in The­or. Math. Phys. 46:2 (1981). MR 612954 article

A. V. Gay­duk, V. N. Ro­man­ov, and A. S. Schwarz: “Su­per­grav­ity and field space demo­cracy,” Comm. Math. Phys. 79 : 4 (1981), pp. 507–​528. MR 623965 article

A. S. Schwarz and Yu. S. Ty­up­kin: “Di­men­sion­al re­duc­tion of the gauge field the­ory,” Nuc­le­ar Phys. B 187 : 2 (1981), pp. 321–​332. MR 627104 article

A. S. Shvarts: “Jel­lipt­icheskie op­er­at­orj v kvanto­voy teorii polq” [El­lipt­ic op­er­at­ors in quantum field the­ory], Sovre­mennye Prob­lemy Matem­atiki. No­veish­ie Dos­tizhen­iya 17 (1981), pp. 113–​173. An Eng­lish trans­la­tion was pub­lished in J. So­viet Math. 21:4 (1983). MR 628977 Zbl 0482.​35080 article

O. M. Khu­daver­d­i­an, A. S. Schwarz, and Yu. S. Ty­up­kin: “In­teg­ral in­vari­ants for su­per­ca­non­ic­al trans­form­a­tions,” Lett. Math. Phys. 5 : 6 (1981), pp. 517–​522. MR 637632 Zbl 0521.​58054 article

A. S. Schwarz: “Su­per­grav­ity and com­plex geo­metry,” Yadernaya Fiz. 34 : 4 (1981), pp. 1144–​1149. An Eng­lish trans­la­tion was pub­lished in So­viet J. Nuc­le­ar Phys. 34:4 (1981). MR 660226 article

A. S. Schwarz: “Su­per­grav­ity and com­plex geo­metry,” So­viet J. Nuc­le­ar Phys. 34 : 4 (1981), pp. 635–​637. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Yadernaya Fiz. 34:4 (1981). article

A. S. Schwarz: “The­or­ies with non­loc­al elec­tric charge con­ser­va­tion,” Pisma Zh. Èksper. Teor­et. Fiz. 34 (1981), pp. 555–​558. In Rus­si­an; trans­lated in JETP Let­ters 34: 10 (1981), 532–534. article

A. S. Schwarz: “Su­per­grav­ity, com­plex geo­metry and \( G \)-struc­tures,” Comm. Math. Phys. 87 : 1 (1982), pp. 37–​63. MR 680647 Zbl 0503.​53048 article

A. S. Schwarz: “Field the­or­ies with no loc­al con­ser­va­tion of the elec­tric charge,” Nuc­le­ar Phys. B 208 : 1 (1982), pp. 141–​158. MR 682897 article

A. V. Gaĭ­duk, O. M. Khu­daverdy­an, and A. S. Shvarts: “In­teg­ri­rovanie po pover­xnostqm v su­per­pros­tran­stve” [In­teg­ra­tion over sur­faces in su­per­space], Teor. Mat. Fiz. 52 : 3 (1982), pp. 375–​383. An Eng­lish trans­la­tion was pub­lished in The­or. Math. Phys. 52:3 (1982). MR 692929 article

A. S. Schwarz: “A few re­marks on the con­struc­tion of solu­tions of non­lin­ear equa­tions,” pp. 124–​128 in Twis­tor geo­metry and non­lin­ear sys­tems (Primor­sko, Bul­garia, Septem­ber 1980). Edi­ted by H.-D. Doeb­n­er and T. D. Palev. Lec­ture Notes in Math­em­at­ics 970. Spring­er (Ber­lin), 1982. MR 699804 Zbl 0522.​47054 incollection

V. A. Fateev, I. V. Fro­lov, and A. S. Schwarz: “Grand uni­fic­a­tion and mir­ror particles,” Nuc­le­ar Phys. B 209 : 2 (December 1982), pp. 427–​432. article

A. V. Gaĭ­duk, O. M. Khu­daverdy­an, and A. S. Shvarts: “In­teg­ra­tion over sur­faces in su­per­space,” The­or. Math. Phys. 52 : 3 (1982), pp. 862–​868. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Teor. Mat. Fiz. 52:3 (1982). Zbl 0513.​58015 article

O. M. Khu­daverdy­an and A. S. Shvarts: “Nor­mal gauge in su­per­grav­ity,” The­or. Math. Phys. 57 : 3 (1983), pp. 1189–​1195. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Teor­et. Mat. Fiz. 57:3 (1983). article

A. A. Roslyĭ and A. S. Schwarz: “Geo­met­riya nemin­im­al’noj i al’ternat­ivnoj min­im­al’noj su­per­ggrav­it­at­sii” [Geo­metry of non­min­im­al and al­tern­at­ive min­im­al su­per­grav­ity], Yadernaya Fiz. 37 : 3 (1983), pp. 786–​794. An Eng­lish trans­la­tion was pub­lished in So­viet J. Nuc­le­ar Phys. 37:3 (1983). MR 719875 article

O. M. Khu­daverdy­an and A. S. Shvarts: “Nor­mal’naq kal­ib­rovka v su­per­grav­itacii” [Nor­mal gauge in su­per­grav­ity], Teor. Mat. Fiz. 57 : 3 (1983), pp. 354–​362. An Eng­lish trans­la­tion was pub­lished in The­or. Math. Phys. 57:3 (1983). MR 735394 article

A. S. Shvarts: “El­lipt­ic op­er­at­ors in quantum field the­ory,” J. So­viet Math. 21 : 4 (March 1983), pp. 551–​601. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Sovre­mennye Prob­lemy Matem­atiki. No­veish­ie Dos­tizhen­iya 17 (1981). article

A. A. Roslyĭ and A. S. Schwarz: “Geo­metry of min­im­al and al­tern­at­ive min­im­al su­per­grav­ity,” So­viet J. Nuc­le­ar Phys. 37 : 3 (1983), pp. 466–​471. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Yadernaya Fiz. 37:3 (1983). Zbl 0592.​53067 article

S. P. Novikov, Yu. M. Smirnov, and A. S. Shvarts: “Vadim Ar­sen’evich Efre­movich (k vos’mide­sqtiletiü so dnq rozh­de­niq)” [Vadim Ar­sen’evich Efre­movich (on his eighti­eth birth­day)], Us­pekhi Mat. Nauk 39 : 1(235) (1984), pp. 175–​176. MR 733984 article

M. A. Baran­ov and A. S. Shvarts: “Char­ac­ter­ist­ic classes of su­per­gauge fields” [Xarak­ter­isticheskie klassj su­per­kal­ib­ro­voch­njx po­ley], Funkt­sion­al. Anal. i Prilozhen. 18 : 2 (1984), pp. 53–​54. An Eng­lish trans­la­tion was pub­lished in Funct. Anal. Ap­pl. 18:2 (1984). MR 745700 Zbl 0559.​53017 article

A. S. Schwarz and Yu. S. Ty­up­kin: “Quant­iz­a­tion of an­ti­sym­met­ric tensors and Ray–Sing­er tor­sion,” Nuc­le­ar Phys. B 242 : 2 (1984), pp. 436–​446. MR 755845 article

M. A. Baran­ov and A. S. Shvarts: “Ko­go­mo­lo­gii su­perm­no­goo­braziy” [Co­homo­logy of su­per­man­i­folds], Funkt­sion­al. Anal. i Prilozhen. 18 : 3 (1984), pp. 69–​70. An Eng­lish trans­la­tion was pub­lished in Funct. Anal. Ap­pl. 18:3 (1984). MR 757252 article

A. A. Rosly and A. S. Schwarz: “Geo­metry of \( N=1 \) su­per­grav­ity,” Comm. Math. Phys. 95 : 2 (1984), pp. 161–​184. MR 760330 Zbl 0644.​53077 article

A. S. Shvarts: “On the defin­i­tion of su­per­space” [K opredel­eniü su­per­pros­tran­stva], Teor. Mat. Fiz. 60 : 1 (1984), pp. 37–​42. An Eng­lish trans­la­tion was pub­lished in The­or. Math. Phys. 60:1 (1984). MR 760438 article

A. A. Rosly and A. S. Schwarz: “Geo­metry of \( N=1 \) su­per­grav­ity, II,” Comm. Math. Phys. 96 : 3 (1984), pp. 285–​309. MR 769349 Zbl 0644.​53078 article

M. A. Baran­ov and A. S. Shvarts: “Co­homo­logy of su­per­man­i­folds,” Funct. Anal. Ap­pl. 18 : 3 (1984), pp. 236–​238. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Funkt­sion­al. Anal. i Prilozhen. 18:3 (1984). Zbl 0555.​58030 article

M. A. Baran­ov and A. S. Shvarts: “Char­ac­ter­ist­ic classes of su­per­gauge fields,” Func­tion­al Ana­lys­is and its Ap­plic­a­tions 18 : 2 (1984), pp. 130–​132. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Funkt­sion­al. Anal. i Prilozhen. 18:2 (1984). Zbl 0573.​53020 article

A. S. Shvarts: “On the defin­i­tion of su­per­space,” The­or. Math. Phys. 60 : 1 (1984), pp. 657–​660. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Teor. Mat. Fiz. 60:1 (1984). Zbl 0575.​58005 article

M. A. Baran­ov and A. S. Shvarts: “Mul­tiloop con­tri­bu­tion to string the­ory,” JETP Lett. 42 : 8 (1985), pp. 419–​421. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Pis’ma Zh. Ek­sper. Teor­et. Fiz. 42:8 (1985). article

M. A. Baran­ov, A. A. Roslyĭ, and A. S. Shvarts: “Su­per­light­like geodesics in su­per­grav­ity,” Yadernaya Fiz. 41 : 1 (1985), pp. 285–​287. An Eng­lish trans­la­tion was pub­lished in So­viet J. Nuc­le­ar Phys. 41:1 (1985). MR 804665 article

M. A. Baran­ov, A. A. Roslyĭ, and A. S. Shvarts: “O svqzi grav­itacii i su­per­grav­itacii” [On the con­nec­tion between grav­ity and su­per­grav­ity], Teor­et. Mat. Fiz. 64 : 1 (1985), pp. 7–​16. An Eng­lish trans­la­tion was pub­lished in The­or. Math. Phys. 64:1 (1985). MR 815093 article

A. A. Rosly and A. S. Schwarz: “Geo­met­ric­al ori­gin of new un­con­strained su­per­fields,” pp. 308–​324 in Pro­ceed­ings of the third sem­in­ar on quantum grav­ity (Mo­scow, 23–25 Oc­to­ber 1984). Edi­ted by M. A. Markov, V. A. Berez­in, and V. P. Fro­lov. World Sci­entif­ic (Singa­pore), 1985. MR 829729 incollection

M. A. Baran­ov and A. S. Shvarts: “O mno­go­petle­vom vk­lade v teor­iyu struny” [Mul­tiloop con­tri­bu­tion to string the­ory], Pis’ma Zh. Ek­sper. Teor­et. Fiz. 42 : 8 (1985), pp. 340–​342. An Eng­lish trans­la­tion was pub­lished in JETP Lett. 42:8 (1985). MR 875755 article

M. A. Baran­ov, A. A. Roslyĭ, and A. S. Shvarts: “Geo­met­ric as­pects of su­per­grav­ity,” Prob­lemy Yadern. Fiz. i Kosm. Lucheĭ 24 (1985), pp. 25–​33. MR 887675 article

A. S. Schwarz and Yu. S. Ty­up­kin: “Grand uni­fic­a­tion, strings, and mir­ror particles,” pp. 279–​289 in Group the­or­et­ic­al meth­ods in phys­ics (Zvenig­orod, USSR, 24–26 Novem­ber 1982), vol. 2. Edi­ted by M. A. Markov, V. I. Man’ko, and A. E. Shabad. Har­wood Aca­dem­ic (Chur, Switzer­land), 1985. MR 989351 incollection

M. A. Baran­ov, A. A. Roslyĭ, and A. S. Shvarts: “On the con­nec­tion between grav­ity and su­per­grav­ity,” The­or. Math. Phys. 64 : 1 (1985), pp. 649–​655. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Teor­et. Mat. Fiz. 64:1 (1985). Zbl 0584.​53041 article

M. A. Baran­ov, A. A. Roslyĭ, and A. S. Shvarts: “Su­per­light­like geodesics in su­per­grav­ity,” So­viet J. Nuc­le­ar Phys. 41 : 1 (1985), pp. 285–​287. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Yadernaya Fiz. 41:1 (1985). Zbl 0592.​58013 article

M. A. Baran­ov, Yu. I. Man­in, I. V. Fro­lov, and A. S. Shvarts: “Mno­go­petle­voj vk­lad v fer­mi­on­noj strune” [The mul­tiloop con­tri­bu­tion in the fer­mi­on string], Yadernaya Fiz. 43 : 4 (1986), pp. 1053–​1056. An Eng­lish trans­la­tion was pub­lished in So­viet J. Nuc­le­ar Phys. 43:4 (1986). article

A. A. Rosly and A. S. Schwarz: “Su­per­sym­metry in a space with aux­il­i­ary di­men­sions,” Comm. Math. Phys. 105 : 4 (1986), pp. 645–​668. MR 852094 article

M. A. Baran­ov, Yu. I. Man­in, I. V. Fro­lov, and A. S. Shvarts: “The mul­tiloop con­tri­bu­tion in the fer­mi­on string,” So­viet J. Nuc­le­ar Phys. 43 : 4 (1986), pp. 670–​671. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Yadernaya Fiz. 43:4 (1986). MR 857425 article

A. A. Roslyĭ, O. M. Khu­daverdy­an, and A. S. Shvarts: “Su­per­sim­met­riq i kom­pleksnaq geo­met­riq” [Su­per­sym­metry and com­plex geo­metry], pp. 247–​284 in Com­plex ana­lys­is: Sev­er­al vari­ables, III. Edi­ted by G. M. Khen­kin and R. V. Gamkrelidze. Sovre­mennye Prob­lemy Matem­atiki. Fun­da­ment­al’nye Napravlen­iya 9. VIN­ITI (Mo­scow), 1986. An Eng­lish trans­la­tion was pub­lished in 1989. MR 860614 incollection

M. A. Baran­ov, I. V. Fro­lov, and A. S. Shvarts: “Geo­met­riya dvumernykh su­per­kon­formnykh teor­ij polya” [Geo­metry of two-di­men­sion­al su­per­con­form­al field the­or­ies], Teor. Mat. Fiz. 70 : 1 (1987), pp. 92–​103. An Eng­lish trans­la­tion was pub­lished in The­or. Math. Phys. 70:1 (1987). MR 883786 Zbl 0624.​58002 article

A. M. Baran­ov, Yu. I. Man­in, I. V. Fro­lov, and A. S. Schwarz: “A su­per­ana­log of the Sel­berg trace for­mula and mul­tiloop con­tri­bu­tions for fer­mi­on­ic strings,” Comm. Math. Phys. 111 : 3 (1987), pp. 373–​392. MR 900500 Zbl 0624.​58033 article

M. A. Baran­ov and A. S. Schwarz: “On the mul­tiloop con­tri­bu­tion to the string the­ory,” In­ter­nat. J. Mod­ern Phys. A 2 : 6 (1987), pp. 1773–​1796. MR 913613 article

A. S. Shvarts: “The fer­mi­on string and a uni­ver­sal mod­u­lus space,” JETP Lett. 46 : 9 (1987), pp. 428–​431. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Pis’ma Zh. Èksper. Teor­et. Fiz. 46:9 (1987). MR 940601 article

A. S. Schwarz and Yu. S. Ty­up­kin: “Meas­ure­ment the­ory and the Schrödinger equa­tion,” pp. 667–​675 in Quantum field the­ory and quantum stat­ist­ics: Es­says in hon­our of the six­tieth birth­day of E. S. Fradkin, vol. 1. Edi­ted by I. A. Batal­in, C. J. Isham, and G. A. Vilko­visky. Hil­ger (Bris­tol, UK), 1987. MR 943165 incollection

A. S. Shvarts: “Fer­mi­on­naya struna i uni­ver­sal’noe pros­tran­stvo mod­ulej” [The fer­mi­on string and a uni­ver­sal mod­u­lus space], Pis’ma Zh. Ek­sper. Teor­et. Fiz. 46 : 9 (1987), pp. 340–​342. An Eng­lish trans­la­tion of was pub­lished in JETP Lett. 46:9 (1987). article

M. A. Baran­ov, I. V. Fro­lov, and A. S. Shvarts: “Geo­metry of su­per­con­form­al field the­or­ies in two di­men­sions,” The­or. Math. Phys. 70 : 1 (1987), pp. 64–​72. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Teor. Mat. Fiz. 70:1 (1987). article

A. Schwarz and M. Baran­ov: Su­per­con­form­al geo­metry and mul­tiloop con­tri­bu­tion to the string the­ory. Pre­print, MI­FI (Mo­scow), 1987. techreport

A. A. Rosly, A. S. Schwarz, and A. A. Voro­nov: “Geo­metry of su­per­con­form­al man­i­folds,” Comm. Math. Phys. 119 : 1 (1988), pp. 129–​152. MR 968484 Zbl 0675.​58010 article

A. A. Rosly, A. S. Schwarz, and A. A. Voro­nov: “Su­per­con­form­al geo­metry and string the­ory,” Comm. Math. Phys. 120 : 3 (1989), pp. 437–​450. MR 981212 Zbl 0667.​58008 article

A. S. Schwarz: “Fer­mi­on­ic string and uni­ver­sal mod­uli space,” Nuc­le­ar Phys. B 317 : 2 (1989), pp. 323–​343. MR 1001895 article

M. A. Baran­ov, I. V. Fro­lov, and A. S. Schwarz: “Geo­met­riq su­per­kon­form­nogo pros­tran­stva mod­u­ley” [Geo­metry of the su­per­con­form­al mod­uli space], Teor. Mat. Fiz. 79 : 2 (1989), pp. 241–​252. An Eng­lish trans­la­tion was pub­lished in The­or­et. and Math. Phys. 79:2 (1989). MR 1007798 Zbl 0679.​53058 article

A. S. Schwarz: “Stat­ist­ics of skyrmi­ons,” Mod. Phys. Lett. A 4 : 4 (1989), pp. 403–​407. MR 1016533 article

A. S. Schwarz: “Lef­schetz trace for­mula and BRST,” Mod­ern Phys. Lett. A 4 : 20 (1989), pp. 1891–​1897. MR 1023771 article

A. S. Shvarts: Kvantovaya teor­iya polya i to­po­lo­giya [Quantum field the­ory and to­po­logy]. Nauka (Mo­scow), 1989. An Eng­lish trans­la­tion was pub­lished in 1993. Zbl 0682.​58001 book

M. A. Baran­ov, I. V. Fro­lov, and A. S. Schwarz: “Geo­metry of the su­per­con­form­al mod­uli space,” The­or­et. and Math. Phys. 79 : 2 (May 1989), pp. 509–​517. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Teor. Mat. Fiz. 79:2 (1989). Zbl 0694.​53060 article

A. A. Roslyĭ, O. M. Khu­daverdy­an, and A. S. Shvarts: “Su­per­sym­metry and com­plex geo­metry,” pp. 223–​261 in Sev­er­al com­plex vari­ables, III: Geo­met­ric func­tion the­ory. Edi­ted by G. M. Khen­kin and R. V. Gamkrelidze. En­cly­clo­pe­dia of the Math­em­at­ic­al Sci­ences 9. Spring­er (Ber­lin), 1989. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in 1986. Zbl 0794.​53050 incollection

A. S. Schwarz: “New to­po­lo­gic­al in­vari­ants arising in the the­ory of quant­ized fields” in Baku In­ter­na­tion­al To­po­lo­gic­al Con­fer­ence, ab­stracts (Baku, Oc­to­ber 3–9, 1987). Edi­ted by B. R. Nur­iev. Elm (Baku, Azerbaijan), 1989. MR 1347199 inproceedings

H. La, P. Nel­son, and A. S. Schwarz: “Vi­ra­s­oro mod­el space,” Comm. Math. Phys. 134 : 3 (December 1990), pp. 539–​554. MR 1086743 article

V. S. Makarov, A. A. Mal’tsev, S. P. Novikov, S. S. Ry­shkov, E. S. Tik­homirova, and A. S. Shvarts: “Vadim Ar­senievich Efre­movich (ob­it­u­ary)” [Efre­movich Vadim Ar­sen’evich (nek­rolog)], Us­pekhi Mat. Nauk 45 : 6(276) (1990), pp. 113–​114. An Eng­lish trans­la­tion was pub­lished in Russ. Math. Surv. 45:6 (1990). MR 1101334 article

S. N. Dol­gikh and A. S. Schwarz: “Su­per­grass­man­ni­ans, su­per \( \tau \)-func­tions and strings,” pp. 231–​244 in Phys­ics and math­em­at­ics of strings: Me­mori­al volume for Vadim Knizhik. Edi­ted by L. Brink, D. Friedan, and A. M. Polyakov. World Sci­entif­ic (Tea­neck, NJ), 1990. MR 1104261 Zbl 0737.​58056 incollection

A. S. Schwarz: “Uni­ver­sal mod­uli space and string the­ory,” pp. 450–​456 in Su­per­strings ’89 (Trieste, Italy, 3–14 April 1989). Edi­ted by M. Green, R. Iengo, S. Rand­jbar-Daemi, E. Sez­gin, and A. Strominger. World Sci­entif­ic (Singa­pore), 1990. MR 1159976 Zbl 0985.​81680 incollection

V. S. Makarov, A. A. Mal’tsev, S. P. Novikov, S. S. Ry­shkov, E. S. Tik­homirova, and A. S. Shvarts: “Vadim Ar­senievich Efre­movich (ob­it­u­ary),” Russ. Math. Surv. 45 : 6 (December 1990), pp. 137–​138. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Us­pekhi Mat. Nauk 45:6(276) (1990). article

A. Schwarz: Sym­plect­ic, con­tact and su­per­con­form­al geo­metry, mem­branes and strings. Pre­print 90-12, 1990. techreport

S. N. Dol­gikh, A. A. Rosly, and A. S. Schwarz: “Su­per­mod­uli spaces,” Com­mun. Math. Phys. 135 : 1 (1990), pp. 91–​100. MR 1086753 Zbl 0715.​32008 article

A. Schwarz: “On some math­em­at­ic­al prob­lems of 2D-grav­ity and \( W_h \)-grav­ity,” Mod. Phys. Lett. A 6 : 7 (1991), pp. 611–​616. MR 1098645 Zbl 1020.​37578 article

V. Kac and A. Schwarz: “Geo­met­ric in­ter­pret­a­tion of the par­ti­tion func­tion of 2D grav­ity,” Phys. Lett. B 257 : 3–​4 (1991), pp. 329–​334. MR 1100639 article

A. Schwarz: “On solu­tions to the string equa­tion,” Mod. Phys. Lett. A 6 : 29 (1991), pp. 2713–​2725. MR 1126806 Zbl 1020.​37579 ArXiv hep-​th/​9109015 article

A. S. Schwarz and A. Sen: “Glu­ing the­or­em, star product and in­teg­ra­tion in open string field the­ory in ar­bit­rary back­ground fields,” Int. J. Mod. Phys. A 6 : 30 (1991), pp. 5387–​5407. MR 1137572 Zbl 0802.​53032 article

A. Schwarz: “Geo­metry of fer­mi­on­ic string,” pp. 1377–​1386 in Pro­ceed­ings of the In­ter­na­tion­al Con­gress of Math­em­aticians (Kyoto, Ja­pan, 21–29 Au­gust 1990), vol. 2. Edi­ted by I. Satake. Spring­er (Tokyo), 1991. MR 1159322 Zbl 0751.​53024 incollection

H. La, P. Nel­son, and A. S. Schwarz: “Re­marks on Vi­ra­s­oro mod­el space,” pp. 259–​265 in Strings ’90 (Col­lege Sta­tion, TX, 21–17 March 1990). Edi­ted by R. Arnowitt, R. Bry­an, M. J. Duff, D. V. Nan­o­poulos, C. N. Pope, and E. Sez­gin. World Sci­entif­ic (River Edge, NJ), 1991. MR 1256501 incollection

K. N. Anagnosto­poulos, M. J. Bowick, and A. Schwarz: “The solu­tion space of the unit­ary mat­rix mod­el string equa­tion and the Sato Grass­man­ni­an,” Com­mun. Math. Phys. 148 : 3 (1992), pp. 469–​485. MR 1181066 Zbl 0753.​35073 ArXiv hep-​th/​9112066 article

A. S. Schwarz and A. A. Tseyt­lin: “Dila­tion shift un­der du­al­ity and tor­sion of el­lipt­ic com­plex,” Nuc­le­ar Phys. B 399 : 2–​3 (July 1993), pp. 691–​708. MR 1226849 ArXiv hep-​th/​9210015 article

A. Schwarz: “Geo­metry of Batal­in–Vilko­visky quant­iz­a­tion,” Com­mun. Math. Phys. 155 : 2 (1993), pp. 249–​260. MR 1230027 Zbl 0786.​58017 ArXiv hep-​th/​9205088 article

A. Schwarz: “Semi­clas­sic­al ap­prox­im­a­tion in Batal­in–Vilko­visky form­al­ism,” Com­mun. Math. Phys. 158 : 2 (1993), pp. 373–​396. MR 1249600 Zbl 0855.​58005 ArXiv hep-​th/​9210115 article

A. S. Schwarz: Quantum field the­ory and to­po­logy. Grundlehren der Math­em­at­ischen Wis­senschaften 307. Spring­er (Ber­lin), 1993. Eng­lish trans­la­tion of 1989 Rus­si­an ori­gin­al. A 1994 Eng­lish-lan­guage mono­graph was partly based on this trans­la­tion and the ori­gin­al. MR 1276723 Zbl 0789.​58004 book

A. Schwarz, M. Pohst, and F. Diaz y Diaz: “A table of quintic num­ber fields,” Math. Com­put. 63 : 207 (1994), pp. 361–​376. MR 1219705 Zbl 0822.​11087 article

A. Schwarz: “Sym­metry trans­form­a­tions in Batal­in–Vilko­visky form­al­ism,” Lett. Math. Phys. 31 : 4 (1994), pp. 299–​301. MR 1293493 Zbl 0802.​58027 ArXiv hep-​th/​9310124 article

A. S. Schwarz: To­po­logy for phys­i­cists. Grundlehren der Math­em­at­ischen Wis­senschaften 308. Spring­er (Ber­lin), 1994. Based on Kvantovaya teor­iya polya i to­po­lo­giya (1989) and its 1993 Eng­lish trans­la­tion. MR 1301777 Zbl 0858.​55001 book

M. Pen­kava and A. Schwarz: “On some al­geb­ra­ic struc­tures arising in string the­ory,” pp. 219–​227 in Per­spect­ives in math­em­at­ic­al phys­ics (Taiwan, sum­mer 1992 and Los Angeles, winter 1992). Edi­ted by R. C. Pen­ner and S.-T. Yau. Con­fer­ence Pro­ceed­ings and Lec­ture Notes in Geo­metry and To­po­logy 3. In­ter­na­tion­al Press (Bo­ston), 1994. MR 1314668 Zbl 0871.​17021 ArXiv hep-​th/​9212072 incollection

M. Atiyah, A. Borel, G. J. Chaitin, D. Friedan, J. Glimm, J. J. Gray, M. W. Hirsch, S. MacLane, B. B. Man­del­brot, D. Ruelle, A. Schwarz, K. Uh­len­beck, R. Thom, E. Wit­ten, and C. Zee­man: “Re­sponses to ‘The­or­et­ic­al math­em­at­ics: To­ward a cul­tur­al syn­thes­is of math­em­at­ics and the­or­et­ic­al phys­ics’, by A. Jaffe and F. Quinn,” Bull. Am. Math. Soc., New Ser. 30 : 2 (April 1994), pp. 178–​207. Zbl 0803.​01014 ArXiv math/​9404229 article

D. Fuchs and A. Schwarz: “Mat­rix Vi­eta the­or­em,” pp. 15–​22 in Lie groups and Lie al­geb­ras: E. B. Dynkin’s sem­in­ar. Edi­ted by S. G. Gindikin and E. B. Vin­berg. Amer­ic­an Math­em­at­ic­al So­ci­ety Trans­la­tions. Series 2 169. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1995. This book is also no. 26 in the Ad­vances in Math­em­at­ics series. MR 1364450 Zbl 0837.​15011 ArXiv math/​9410207 incollection

M. Pen­kava and A. Schwarz: “\( A_{\infty} \) al­geb­ras and the co­homo­logy of mod­uli spaces,” pp. 91–​107 in Lie groups and Lie al­geb­ras: E. B. Dynkin’s sem­in­ar. Edi­ted by S. G. Gindikin and E. B. Vin­berg. Amer­ic­an Math­em­at­ic­al So­ci­ety Trans­la­tions. Series 2 169. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1995. This book is also no. 26 in the Ad­vances in Math­em­at­ics series. MR 1364455 Zbl 0863.​17017 ArXiv hep-​th/​9408064 incollection

A. Schwarz: “Sigma-mod­els hav­ing su­per­man­i­folds as tar­get spaces,” Lett. Math. Phys. 38 : 1 (1996), pp. 91–​96. MR 1401058 Zbl 0859.​58004 ArXiv hep-​th/​9506070 article

A. Schwarz: “Su­per­ana­logs of sym­plect­ic and con­tact geo­metry and their ap­plic­a­tions to quantum field the­ory,” pp. 203–​218 in Top­ics in stat­ist­ic­al and the­or­et­ic­al phys­ics: F. A. Berez­in me­mori­al volume. Edi­ted by R. L. Dobrush­in, R. A. Min­los, M. A. Shubin, and A. M. Ver­shik. Amer­ic­an Math­em­at­ic­al So­ci­ety Trans­la­tions. Series 2 177. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1996. This book is also no. 32 in the Ad­vances in Math­em­at­ics series. MR 1409176 Zbl 0873.​58004 ArXiv hep-​th/​9406120 incollection

M. Al­ex­an­drov, A. Schwarz, O. Za­boron­sky, and M. Kont­sevich: “The geo­metry of the mas­ter equa­tion and to­po­lo­gic­al quantum field the­ory,” Int. J. Mod. Phys. A 12 : 7 (1997), pp. 1405–​1429. MR 1432574 Zbl 1073.​81655 ArXiv hep-​th/​9502010 article

A. Connes and A. Schwarz: “Mat­rix Vi­eta the­or­em re­vis­ited,” Lett. Math. Phys. 39 : 4 (1997), pp. 349–​353. MR 1449580 Zbl 0874.​15010 article

A. Schwarz and O. Za­boron­sky: “Su­per­sym­metry and loc­al­iz­a­tion,” Com­mun. Math. Phys. 183 : 2 (1997), pp. 463–​476. MR 1461967 Zbl 0873.​58003 ArXiv hep-​th/​9511112 article

A. Konechny and A. Schwarz: “Geo­metry of \( N = 1 \) su­per Yang–Mills the­ory in curved su­per­space,” J. Geom. Phys. 23 : 2 (1997), pp. 97–​110. MR 1467173 Zbl 0899.​53061 ArXiv hep-​th/​9609081 article

N. Nekra­sov and A. Schwarz: “In­stan­tons on non­com­mut­at­ive \( \mathbb{R}^4 \), and \( (2,0) \) su­per­con­form­al six di­men­sion­al the­ory,” Com­mun. Math. Phys. 198 : 3 (1998), pp. 689–​703. MR 1670037 Zbl 0923.​58062 ArXiv hep-​th/​9802068 article

A. Connes, M. R. Douglas, and A. Schwarz: “Non­com­mut­at­ive geo­metry and mat­rix the­ory: Com­pac­ti­fic­a­tion on tori,” J. High En­ergy Phys. 1998 : 2 (1998). art­icle no. 3, 35 pages. MR 1613978 Zbl 1018.​81052 ArXiv hep-​th/​9711162 article

A. Schwarz: “Sym­plect­ic form­al­ism in con­form­al field the­ory,” pp. 957–​977 in Symétries quantiques / Quantum sym­met­ries (Les Houches, France, 1 Au­gust–8 Septem­ber 1995). Edi­ted by A. Connes, K. Ga­weedzki, and J. Zinn-Justin. El­sevi­er (Am­s­ter­dam), 1998. MR 1616364 Zbl 1050.​81061 incollection

A. Schwarz: “Grass­mann and string the­ory,” Com­mun. Math. Phys. 199 : 1 (1998), pp. 1–​24. MR 1660223 Zbl 0921.​58078 ArXiv hep-​th/​9610122 article

A. Schwarz: “Mor­ita equi­val­ence and du­al­ity,” Nucl. Phys., B 534 : 3 (1998), pp. 720–​738. MR 1663471 Zbl 1079.​81066 ArXiv hep-​th/​9805034 article

A. Konechny and A. Schwarz: “On \( (k\oplus l|g) \)-di­men­sion­al su­per­man­i­folds,” pp. 201–​206 in Su­per­sym­metry and quantum field the­ory (Kharkov, Ukraine, 5–7 Janu­ary 1997). Edi­ted by J. Wess and V. P. Ak­u­lov. Lec­ture Notes in Phys­ics 509. 1998. Pro­ceed­ings of the D. Volkov Me­mori­al Sem­in­ar. MR 1677320 Zbl 0937.​58001 incollection

L. Fried­lander and A. Schwarz: “Grass­man­ni­an and el­lipt­ic op­er­at­ors,” pp. 79–​88 in High­er ho­mo­topy struc­tures in to­po­logy and math­em­at­ic­al phys­ics (Pough­keep­sie, NY, 13–15 June 1996). Edi­ted by J. Mc­Cle­ary. Con­tem­por­ary Math­em­at­ics 227. 1999. Con­fer­ence to hon­or the 60th birth­day of Jim Stasheff. MR 1665462 Zbl 0923.​58053 ArXiv funct-​an/​9704003 incollection

M. A. Rief­fel and A. Schwarz: “Mor­ita equi­val­ence of mul­ti­di­men­sion­al non­com­mut­at­ive tori,” Int. J. Math. 10 : 2 (1999), pp. 289–​299. MR 1687145 Zbl 0968.​46060 ArXiv math/​9803057 article

A. Konechny and A. Schwarz: “Su­per­sym­metry al­gebra and BPS states of su­per Yang–Mills the­or­ies on non­com­mut­at­ive tori,” Phys. Lett., B 453 : 1–​2 (1999), pp. 23–​29. MR 1690319 Zbl 1058.​58500 ArXiv hep-​th/​9901077 article

A. Konechny and A. Schwarz: “BPS states on non-com­mut­at­ive tori and du­al­ity,” Nucl. Phys., B 550 : 3 (1999), pp. 561–​584. MR 1693262 Zbl 0949.​58004 ArXiv hep-​th/​9811159 article

S. P. Novikov and A. S. Shvarts: “Dis­crete Lag­rangi­an sys­tems on graphs: Sym­plecto-to­po­lo­gic­al prop­er­ties,” Us­pekhi Mat. Nauk 54 : 1(325) (1999), pp. 257–​258. An Eng­lish trans­la­tion was pub­lished in Russ. Math. Surv. 54:1 (1999). MR 1706803 ArXiv math-​ph/​0004011 article

B. Pi­oline and A. Schwarz: “Mor­ita equi­val­ence and \( T \)-du­al­ity (or \( B \) versus \( \Theta \)),” J. High En­ergy Phys. 1999 : 8 (1999). art­icle no. 21, 16 pages. MR 1715542 Zbl 1060.​81612 ArXiv hep-​th/​9908019 article

A. Konechny and A. Schwarz: “\( 1/4 \)-BPS states on non­com­mut­at­ive tori,” J. High En­ergy Phys. 1999 : 9 (1999). art­icle no. 30, 15 pages. MR 1720696 Zbl 0957.​81086 ArXiv hep-​th/​9907008 article

A. Schwarz: “Quantum ob­serv­ables, Lie al­gebra ho­mo­logy and TQFT,” Lett. Math. Phys. 49 : 2 (1999), pp. 115–​122. MR 1728307 Zbl 1029.​81064 ArXiv hep-​th/​9904168 article

A. Schwarz, A. Soss­in­sky, C. Ro­ger, B. Fei­gin, S. Tabach­nikov, and A. As­tashkevich: “Ap­pendix: Per­son­al notes,” pp. 301–​313 in Dif­fer­en­tial to­po­logy, in­fin­ite-di­men­sion­al Lie al­geb­ras, and ap­plic­a­tions: D. B. Fuchs’ 60th an­niversary col­lec­tion. Edi­ted by A. As­tashkevich and S. Tabach­nikov. Amer­ic­an Math­em­at­ic­al So­ci­ety Trans­la­tions. Series 2 194. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1999. This book is also no. 44 in the “Ad­vances in Math­em­at­ics” series. MR 1729370 Zbl 0960.​01012 incollection

A. Schwarz: “Non­com­mut­at­ive su­per­geo­metry and du­al­ity,” Lett. Math. Phys. 50 : 4 (1999), pp. 309–​321. MR 1768707 Zbl 0967.​58004 ArXiv hep-​th/​9912212 article

S. P. Novikov and A. S. Shvarts: “Dis­crete Lag­rangi­an sys­tems on graphs: Sym­plecto-to­po­lo­gic­al prop­er­ties,” Russ. Math. Surv. 54 : 1 (February 1999), pp. 258–​259. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Us­pekhi Mat. Nauk 54:1(325) (1999). Zbl 0952.​37011 article

A. As­tashkevich, N. Nekra­sov, and A. Schwarz: “On non­com­mut­at­ive Nahm trans­form,” Comm. Math. Phys. 211 : 1 (2000), pp. 167–​182. MR 1757011 Zbl 1024.​81046 ArXiv hep-​th/​9810147 article

A. Schwarz: “Non­com­mut­at­ive al­geb­ra­ic equa­tions and the non­com­mut­at­ive ei­gen­value prob­lem,” Lett. Math. Phys. 52 : 2 (2000), pp. 177–​184. MR 1786861 Zbl 0972.​15001 ArXiv hep-​th/​0004088 article

A. Konechny and A. Schwarz: “Mod­uli spaces of max­im­ally su­per­sym­met­ric solu­tions on non-com­mut­at­ive tori and non-com­mut­at­ive or­bi­folds,” J. High En­ergy Phys. 2000 : 9 (2000), pp. article no. 005, 24 pages. MR 1789106 Zbl 0989.​81623 ArXiv hep-​th/​0005174 article

A. Konechny and A. Schwarz: “Com­pac­ti­fic­a­tion of M(at­rix) the­ory on non­com­mut­at­ive tor­oid­al or­bi­folds,” Nuc­le­ar Phys. B 591 : 3 (2000), pp. 667–​684. MR 1797572 Zbl 1042.​81580 ArXiv hep-​th/​9912185 article

A. Konechny and A. Schwarz: “The­ory of \( (k\oplus l|q) \)-di­men­sion­al su­per­man­i­folds,” Se­lecta Math. (N.S.) 6 : 4 (2000), pp. 471–​486. MR 1847384 Zbl 1001.​58001 article

A. Schwarz: “Non­com­mut­at­ive in­stan­tons: A new ap­proach,” Comm. Math. Phys. 221 : 2 (2001), pp. 433–​450. MR 1845331 Zbl 0989.​46040 ArXiv hep-​th/​0102182 article

A. Schwarz: “Theta func­tions on non­com­mut­at­ive tori,” Lett. Math. Phys. 58 : 1 (2001), pp. 81–​90. MR 1865115 Zbl 1032.​53082 ArXiv math/​0107186 article

A. Schwarz: “To­po­lo­gic­al quantum field the­or­ies,” pp. 123–​142 in XIIIth In­ter­na­tion­al Con­gress on Math­em­at­ic­al Phys­ics (Lon­don, 17–22 Ju­ly 2000). Edi­ted by A. Grigory­an, A. Fo­kas, T. Kibble, and B. Zegar­l­in­ski. In­ter­na­tion­al Press (Bo­ston), 2001. MR 1883299 Zbl 1043.​81066 ArXiv hep-​th/​0011260 incollection

A. Schwarz: “Gauge the­or­ies on non­com­mut­at­ive spaces,” pp. 461–​466 in XIIIth In­ter­na­tion­al Con­gress on Math­em­at­ic­al Phys­ics (Lon­don, 17–22 Ju­ly 2000). Edi­ted by A. Grigory­an, A. Fo­kas, T. Kibble, and B. Zegar­l­in­ski. In­ter­na­tion­al Press (Bo­ston), 2001. MR 1883340 Zbl 1031.​81064 ArXiv hep-​th/​0011261 incollection

A. As­tashkevich and A. Schwarz: “Pro­ject­ive mod­ules over non-com­mut­at­ive tori: Clas­si­fic­a­tion of mod­ules with con­stant curvature con­nec­tion,” J. Op­er. The­ory 46 : 3 (supplement) (2001), pp. 619–​634. Ded­ic­ated to Pro­fess­or D. B. Fuchs on his 60th birth­day. MR 1897158 Zbl 0996.​46031 ArXiv math/​9904139 article