return

Celebratio Mathematica

Isadore M. Singer


Bibliography

[1]I. M. Sing­er: “Uni­formly con­tinu­ous rep­res­ent­a­tions of Lie groups,” Ann. of Math. (2) 56 (1952), pp. 242–​247. MR 0049201 Zbl 0049.​35802

[2]R. V. Kadis­on and I. M. Sing­er: “Some re­marks on rep­res­ent­a­tions of con­nec­ted groups,” Proc. Nat. Acad. Sci. U. S. A. 38 (1952), pp. 419–​423. MR 0048456 Zbl 0046.​25202

[3]W. Am­brose and I. M. Sing­er: “A the­or­em on holonomy,” Trans. Amer. Math. Soc. 75 (1953), pp. 428–​443. MR 0063739 Zbl 0052.​18002

[4]R. Arens and I. M. Sing­er: “Func­tion val­ues as bound­ary in­teg­rals,” Proc. Amer. Math. Soc. 5 (1954), pp. 735–​745. MR 0065024 Zbl 0056.​33501

[5]I. M. Sing­er: “Auto­morph­isms of fi­nite factors,” Amer. J. Math. 77 (1955), pp. 117–​133. MR 0066567 Zbl 0064.​11001

[6]I. M. Sing­er and J. Wer­mer: “De­riv­a­tions on com­mut­at­ive normed al­geb­ras,” Math. Ann. 129 (1955), pp. 260–​264. MR 0070061 Zbl 0067.​35101

[7]I. M. Sing­er: “Re­port on group rep­res­ent­a­tions,” pp. 11–​26 in Re­port of an in­ter­na­tion­al con­fer­ence on op­er­at­or the­ory and group rep­res­ent­a­tions (Ar­den House, Har­ri­m­an, NY, 1955). Publ. 387. Na­tion­al Academy of Sci­ences—Na­tion­al Re­search Coun­cil (Wash­ing­ton, D. C.), 1955. MR 0076285

[8]R. Arens and I. M. Sing­er: “Gen­er­al­ized ana­lyt­ic func­tions,” Trans. Amer. Math. Soc. 81 (1956), pp. 379–​393. MR 0078657 Zbl 0078.​10902

[9]R. V. Kadis­on and I. M. Sing­er: “Three test prob­lems in op­er­at­or the­ory,” Pa­cific J. Math. 7 (1957), pp. 1101–​1106. MR 0092123 Zbl 0078.​11503

[10]K. Hoff­man and I. M. Sing­er: “Max­im­al sub­al­geb­ras of \( C(\Gamma) \),” Amer. J. Math. 79 (1957), pp. 295–​305. MR 0085478 Zbl 0078.​11001

[11]W. Am­brose and I. M. Sing­er: “On ho­mo­gen­eous Rieman­ni­an man­i­folds,” Duke Math. J. 25 (1958), pp. 647–​669. MR 0102842 Zbl 0134.​17802

[12]K. Goff­man and I. M. Zinger: “Some prob­lems of Gel’fand,” Us­pehi Mat. Nauk 14 : 3 (87) (1959), pp. 99–​114. MR 0117538

[13]R. V. Kadis­on and I. M. Sing­er: “Ex­ten­sions of pure states,” Amer. J. Math. 81 (1959), pp. 383–​400. MR 0123922 Zbl 0086.​09704

[14]I. M. Sing­er: “The geo­met­ric in­ter­pret­a­tion of a spe­cial con­nec­tion,” Pa­cific J. Math. 9 (1959), pp. 585–​590. MR 0111062 Zbl 0086.​15101

[15]K. Hoff­man and I. M. Sing­er: “Max­im­al al­geb­ras of con­tinu­ous func­tions,” Acta Math. 103 (1960), pp. 217–​241. MR 0117540 Zbl 0195.​13903

[16]R. V. Kadis­on and I. M. Sing­er: “Tri­an­gu­lar op­er­at­or al­geb­ras. Fun­da­ment­als and hy­per­re­du­cible the­ory.,” Amer. J. Math. 82 (1960), pp. 227–​259. MR 0121675 Zbl 0096.​31703

[17]W. Am­brose, R. S. Pal­ais, and I. M. Sing­er: “Sprays,” An. Acad. Brasil. Ci. 32 (1960), pp. 163–​178. MR 0126234 Zbl 0097.​37904

[18]I. M. Sing­er: “In­fin­ites­im­ally ho­mo­gen­eous spaces,” Comm. Pure Ap­pl. Math. 13 (1960), pp. 685–​697. MR 0131248 Zbl 0171.​42503

[19]I. Sing­er: “Ba­sic se­quences and re­flex­iv­ity of Banach spaces,” Stu­dia Math. 21 (1961/1962), pp. 351–​369. MR 0146635 Zbl 0114.​30903

[20]M. F. Atiyah and I. M. Sing­er: “The in­dex of el­lipt­ic op­er­at­ors on com­pact man­i­folds,” Bull. Amer. Math. Soc. 69 (1963), pp. 422–​433. Re­prin­ted in Sémin­aire Bourbaki. 15e an­née: 1962/63 (1964) and Sémin­aire Bourbaki 8 (1995). MR 0157392 Zbl 0118.​31203 article

[21]K. Hoff­man and I. M. Sing­er: “On some prob­lems of Gel’fand,” Amer. Math. Soc. Transl. (2) 27 (1963), pp. 143–​157. MR 0151866

[22]I. M. Sing­er and S. Stern­berg: “The in­fin­ite groups of Lie and Cartan. I: The trans­it­ive groups,” J. Ana­lyse Math. 15 (1965), pp. 1–​114. MR 0217822

[23]V. Guille­min and I. M. Sing­er: “Dif­fer­en­tial equa­tions and \( G \)-struc­tures,” pp. 34–​36 in Proc. U.S.-Ja­pan Sem­in­ar in dif­fer­en­tial geo­metry (Kyoto, 1965). Nip­pon Hy­oron­sha (Tokyo), 1966. MR 0213988 Zbl 0163.​33402

[24]I. M. Sing­er and J. A. Thorpe: Lec­ture notes on ele­ment­ary to­po­logy and geo­metry. Scott, Fores­man and Co. (Glen­view, IL), 1967. MR 0213982 Zbl 0163.​44302

[25]H. P. McK­ean, Jr. and I. M. Sing­er: “Curvature and the ei­gen­val­ues of the Lapla­cian,” J. Dif­fer­en­tial Geo­metry 1 : 1 (1967), pp. 43–​69. MR 0217739 Zbl 0198.​44301

[26]M. F. Atiyah and I. M. Sing­er: “The in­dex of el­lipt­ic op­er­at­ors, I,” Ann. Math. (2) 87 : 3 (1968), pp. 484–​530. Rus­si­an trans­la­tion pub­lished in Usp. Mat. Nauk 23:5(143) (1968). MR 0236950 Zbl 0164.​24001 article

[27]M. F. Atiyah and I. M. Sing­er: “The in­dex of el­lipt­ic op­er­at­ors, III,” Ann. Math. (2) 87 : 3 (1968), pp. 546–​604. Rus­si­an trans­la­tion pub­lished in Us­pehi Mat. Nauk 24:1(145) (1969). MR 0236952 Zbl 0164.​24301 article

[28]M. F. Atiyah and I. M. Sing­er: “The in­dex of el­lipt­ic op­er­at­ors, I,” Us­pehi Mat. Nauk 23 : 5 (143) (1968), pp. 99–​142. Rus­si­an trans­la­tion of art­icle from Ann. Math. 87:3 (1968). MR 0232402 article

[29]I. M. Sing­er: “El­lipt­ic op­er­at­ors on man­i­folds,” pp. 333–​375 in Pseudo-diff. op­er­at­ors (C.I.M.E., Stresa, 1968). Ed­iz­ioni Cre­monese (Rome), 1968. MR 0262712

[30]M. F. Atiyah and I. M. Sing­er: “In­dex the­ory for skew-ad­joint Fred­holm op­er­at­ors,” Inst. Hautes Études Sci. Publ. Math. 37 : 1 (January 1969), pp. 5–​26. MR 0285033 Zbl 0194.​55503 article

[31]M. F. Atiyah and I. M. Sing­er: “The in­dex of el­lipt­ic op­er­at­ors, III,” Us­pehi Mat. Nauk 24 : 1 (145) (1969), pp. 127–​182. Rus­si­an trans­la­tion of art­icle in Ann. Math. 87:3 (1968). MR 0256417 article

[32]I. M. Sing­er and J. A. Thorpe: “The curvature of 4-di­men­sion­al Ein­stein spaces,” pp. 355–​365 in Glob­al ana­lys­is: Pa­pers in hon­or of K. Kodaira. Univ. Tokyo Press (Tokyo), 1969. MR 0256303 Zbl 0199.​25401

[33]M. F. Atiyah and I. M. Sing­er: “The in­dex of el­lipt­ic op­er­at­ors, V,” Ann. Math. (2) 93 : 1 (1971), pp. 139–​149. Rus­si­an trans­la­tion pub­lished in Us­pehi Mat. Nauk 27:4(166) (1972). MR 0279834 article

[34]M. F. Atiyah and I. M. Sing­er: “The in­dex of el­lipt­ic op­er­at­ors, IV,” Ann. Math. (2) 93 : 1 (1971), pp. 119–​138. Rus­si­an trans­la­tion pub­lished in Us­pehi Mat. Nauk 27:4(166) (1972). MR 0279833 article

[35]D. B. Ray and I. M. Sing­er: “\( R \)-tor­sion and the Lapla­cian on Rieman­ni­an man­i­folds,” Ad­vances in Math. 7 (1971), pp. 145–​210. MR 0295381 Zbl 0239.​58014

[36]I. M. Sing­er: “Op­er­at­or the­ory and peri­od­icity,” pp. 949–​951 in Pro­ceed­ings of an In­ter­na­tion­al Sym­posi­um on op­er­at­or the­ory (In­di­ana Univ., Bloom­ing­ton, 1970), published as In­di­ana Univ. Math. J. 20 : 10. 1971. MR 0445304 Zbl 0228.​55020

[37]L. A. Coburn, R. G. Douglas, D. G. Schaef­fer, and I. M. Sing­er: “\( C^{\ast} \)-al­geb­ras of op­er­at­ors on a half-space. II: In­dex the­ory,” Inst. Hautes Études Sci. Publ. Math. 40 (1971), pp. 69–​79. MR 0358418

[38]Dif­fer­en­tial­geo­met­rie im Großen (Ober­wolfach, 13–19 Ju­ly 1969). Edi­ted by W. Klin­gen­berg. Berichte aus dem Math­em­at­ischen Forschungsin­sti­tut Ober­wolfach 4. Bib­li­o­graph­isches In­sti­tut (Man­nheim), 1971. MR 0331262

[39]I. M. Sing­er: “Fu­ture ex­ten­sions of in­dex the­ory and el­lipt­ic op­er­at­ors,” pp. 171–​185 in Pro­spects in math­em­at­ics (Prin­ceton Univ., 1970). Ann. of Math. Stud­ies 70. Prin­ceton Univ. Press, 1971. MR 0343319 Zbl 0247.​58011

[40]M. F. Atiyah and I. M. Sing­er: “The in­dex of el­lipt­ic op­er­at­ors, IV,” Us­pehi Mat. Nauk 27 : 4(166) (1972), pp. 161–​178. Rus­si­an trans­la­tion of Ann. Math. 93:1 (1971). MR 0385933 article

[41]L. A. Coburn, R. G. Douglas, and I. M. Sing­er: “An in­dex the­or­em for Wien­er–Hopf op­er­at­ors on the dis­crete quarter-plane,” pp. 587–​593 in Col­lec­tion of art­icles ded­ic­ated to S. S. Chern and D. C. Spen­cer on their six­tieth birth­days, published as J. Dif­fer­en­tial Geo­metry 6. 1972. MR 0321142 Zbl 0252.​47026

[42]M. F. Atiyah, V. K. Pat­odi, and I. M. Sing­er: “Spec­tral asym­metry and Rieman­ni­an geo­metry,” Bull. Lon­don Math. Soc. 5 : 2 (1973), pp. 229–​234. MR 0331443 Zbl 0268.​58010 article

[43]D. B. Ray and I. M. Sing­er: “Ana­lyt­ic tor­sion for com­plex man­i­folds,” Ann. of Math. (2) 98 (1973), pp. 154–​177. MR 0383463 Zbl 0267.​32014

[44]I. M. Sing­er: “Re­cent ap­plic­a­tions of in­dex the­ory for el­lipt­ic op­er­at­ors,” pp. 11–​31 in Par­tial dif­fer­en­tial equa­tions (Univ. Cali­for­nia, Berke­ley, 1971). Proc. Sym­pos. Pure Math. XXIII. Amer. Math. Soc. (Provid­ence, R.I.), 1973. MR 0341538 Zbl 0293.​58013

[45]D. B. Ray and I. M. Sing­er: “Ana­lyt­ic tor­sion,” pp. 167–​181 in Par­tial dif­fer­en­tial equa­tions (Univ. Cali­for­nia, Berke­ley, 1971). Proc. Sym­pos. Pure Math. XXIII. Amer. Math. Soc. (Provid­ence, R.I.), 1973. MR 0339293 Zbl 0273.​58014

[46]L. A. Coburn, R. D. Moy­er, and I. M. Sing­er: “\( C^* \)-al­geb­ras of al­most peri­od­ic pseudo-dif­fer­en­tial op­er­at­ors,” Acta Math. 130 (1973), pp. 279–​307. MR 0415407 Zbl 0263.​47042

[47]M. F. Atiyah, V. K. Pat­odi, and I. M. Sing­er: “Spec­tral asym­metry and Rieman­ni­an geo­metry, II,” Math. Proc. Cam­bridge Philos. Soc. 78 : 3 (1975), pp. 405–​432. MR 0397798 Zbl 0314.​58016 article

[48]M. F. Atiyah, V. K. Pat­odi, and I. M. Sing­er: “Spec­tral asym­metry and Rieman­ni­an geo­metry, I,” Math. Proc. Cam­bridge Philos. Soc. 77 : 1 (1975), pp. 43–​69. MR 0397797 Zbl 0297.​58008 article

[49]I. M. Sing­er: “Ei­gen­val­ues of the Lapla­cian and in­vari­ants of man­i­folds,” pp. 187–​200 in Pro­ceed­ings of the In­ter­na­tion­al Con­gress of Math­em­aticians (Van­couver, BC, 1974), vol. 1. Canad. Math. Con­gress (Montreal, Que.), 1975. MR 0420746 Zbl 0345.​58014

[50]J. J. Duister­maat and I. M. Sing­er: “Iso­morph­ismes entre algèbres d’opérat­eurs pseudo-différen­tiels,” pp. 9 in Sémin­aire Goulaouic–Lions–Schwartz 1974–1975: Équa­tions aux dérivées parti­elles linéaires et non linéaires. Centre Math., École Poly­tech. (Par­is), 1975. Ex­posé no. 24. MR 0482869

[51]M. F. Atiyah, V. K. Pat­odi, and I. M. Sing­er: “Spec­tral asym­metry and Rieman­ni­an geo­metry, III,” Math. Proc. Cam­bridge Philos. Soc. 79 : 1 (1976), pp. 71–​99. MR 0397799 Zbl 0325.​58015 article

[52]I. M. Sing­er and J. A. Thorpe: Lec­ture notes on ele­ment­ary to­po­logy and geo­metry. Un­der­gradu­ate Texts in Math­em­at­ics. Spring­er (New York), 1976. Re­print of the 1967 edi­tion. MR 0413152 Zbl 0342.​54002

[53]J. J. Duister­maat and I. M. Sing­er: “Or­der-pre­serving iso­morph­isms between al­geb­ras of pseudo-dif­fer­en­tial op­er­at­ors,” Comm. Pure Ap­pl. Math. 29 : 1 (1976), pp. 39–​47. MR 0402830

[54]M. F. Atiyah, N. J. Hitchin, and I. M. Sing­er: “De­form­a­tions of in­stan­tons,” Proc. Nat. Acad. Sci. U.S.A. 74 : 7 (1977), pp. 2662–​2663. MR 0458424 Zbl 0356.​58011 article

[55]I. M. Sing­er: “Some re­marks on op­er­at­or the­ory and in­dex the­ory,” pp. 128–​138 in \( K \)-the­ory and op­er­at­or al­geb­ras (Univ. Geor­gia, Athens, GA, 1975). Lec­ture Notes in Math. 575. Spring­er (Ber­lin), 1977. MR 0467848 Zbl 0444.​47040

[56]\( K \)-the­ory and op­er­at­or al­geb­ras (Athens, GA, April 21-25, 1975). Edi­ted by B. B. Mor­rel and I. M. Sing­er. Lec­ture Notes in Math­em­at­ics 575. Spring­er (Ber­lin), 1977. MR 0457035

[57]M. F. Atiyah, N. J. Hitchin, and I. M. Sing­er: “Self-du­al­ity in four-di­men­sion­al Rieman­ni­an geo­metry,” Proc. Roy. Soc. Lon­don Ser. A 362 : 1711 (1978), pp. 425–​461. MR 506229 Zbl 0389.​53011 article

[58]I. M. Sing­er: “Some re­marks on the Gri­bov am­bi­gu­ity,” Comm. Math. Phys. 60 : 1 (1978), pp. 7–​12. MR 500248 Zbl 0379.​53009

[59]G. B. Kolata: “Is­ad­ore Sing­er and dif­fer­en­tial geo­metry,” Sci­ence 204 : 4396 (1979), pp. 933–​934. MR 531490 Zbl 1225.​01074

[60]The Chern Sym­posi­um 1979 (Berke­ley, CA, June 1979). Edi­ted by H. H. Wu, S. Kobay­ashi, I. M. Sing­er, A. Wein­stein, and J. Wolf. Spring­er (New York), 1980. MR 609553

[61]I. M. Sing­er: “The geo­metry of the or­bit space for nona­beli­an gauge the­or­ies,” Phys. Scripta 24 : 5 (1981), pp. 817–​820. MR 639408 Zbl 1063.​81623

[62]M. F. Atiyah, H. Don­nelly, and I. M. Sing­er: “Geo­metry and ana­lys­is of Shim­izu \( L \)-func­tions,” Proc. Nat. Acad. Sci. U.S.A. 79 : 18 (1982), pp. 5751. MR 674920 Zbl 0503.​12007 article

[63]I. M. Sing­er: “On Yang–Mills fields,” pp. 35–​50 in Non­lin­ear prob­lems: Present and fu­ture (Los Alam­os, NM, 1981). North-Hol­land Math. Stud. 61. North-Hol­land (Am­s­ter­dam), 1982. MR 675626 Zbl 0499.​35092

[64]M. F. Atiyah, H. Don­nelly, and I. M. Sing­er: “Eta in­vari­ants, sig­na­ture de­fects of cusps, and val­ues of \( L \)-func­tions,” Ann. Math. (2) 118 : 1 (1983), pp. 131–​177. An ad­dendum was pub­lished in Ann. Math. 119:3 (1984). MR 707164 Zbl 0531.​58048 article

[65]M. F. Atiyah and I. M. Sing­er: “Dir­ac op­er­at­ors coupled to vec­tor po­ten­tials,” Proc. Nat. Acad. Sci. U.S.A. 81 : 8 (1984), pp. 2597–​2600. MR 742394 Zbl 0547.​58033 article

[66]M. F. Atiyah, H. Don­nelly, and I. M. Sing­er: “Sig­na­ture de­fects of cusps and val­ues of \( L \)-func­tions: The non­split case. Ad­dendum to: ‘Eta in­vari­ants, sig­na­ture de­fects of cusps, and val­ues of \( L \)-func­tions’,” Ann. Math. (2) 119 : 3 (1984), pp. 635–​637. Ad­dendum to an art­icle in Ann. Math. 118:1 (1983). MR 744866 article

[67]O. Al­varez, I. M. Sing­er, and B. Zu­mino: “Grav­it­a­tion­al an­om­alies and the fam­ily’s in­dex the­or­em,” Comm. Math. Phys. 96 : 3 (1984), pp. 409–​417. MR 769356 Zbl 0587.​58042

[68]Pro­gress in gauge field the­ory (Cargèse, Septem­ber 1–15, 1983). Edi­ted by G. ’t Hooft, A. Jaffe, H. Lehmann, P. K. Mit­ter, I. M. Sing­er, and R. Stora. NATO Ad­vanced Sci­ence In­sti­tutes Series B: Phys­ics 115. Plen­um Press (New York), 1984. MR 782324

[69]I. M. Sing­er: “Fam­il­ies of Dir­ac op­er­at­ors with ap­plic­a­tions to phys­ics,” pp. 323–​340 in The math­em­at­ic­al her­it­age of Élie Cartan (Ly­on, 1984). Astérisque No. Hors Série. 1985. MR 837207 Zbl 0603.​58054

[70]Ver­tex op­er­at­ors in math­em­at­ics and phys­ics (Berke­ley, CA, Novem­ber 10–17, 1983). Edi­ted by J. Lepowsky, S. Man­del­stam, and I. M. Sing­er. Math­em­at­ic­al Sci­ences Re­search In­sti­tute Pub­lic­a­tions 3. Spring­er (New York), 1985. MR 781369

[71]I. M. Sing­er, B. Wong, S.-T. Yau, and S. S.-T. Yau: “An es­tim­ate of the gap of the first two ei­gen­val­ues in the Schrödinger op­er­at­or,” Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 12 : 2 (1985), pp. 319–​333. MR 829055 Zbl 0603.​35070

[72]Math­em­at­ics: the uni­fy­ing thread in sci­ence,” No­tices Amer. Math. Soc. 33 : 5 (1986), pp. 716–​733. A sym­posi­um with con­tri­bu­tions by Phil­lip A. Grif­fiths, Al­lan M. Cor­mack, Her­bert A. Haupt­man, Steven Wein­berg and Is­ad­ore M. Sing­er. MR 856881

[73]G. Moore, J. Har­ris, P. Nel­son, and I. Sing­er: “Mod­u­lar forms and the cos­mo­lo­gic­al con­stant,” Phys. Lett. B 178 : 2–​3 (1986), pp. 167–​173. MR 858672

[74]I. M. Sing­er: “The \( \eta \)-in­vari­ant and the in­dex,” pp. 239–​258 in Math­em­at­ic­al as­pects of string the­ory (San Diego, CA, 1986). Adv. Ser. Math. Phys. 1. World Sci. Pub­lish­ing (Singa­pore), 1987. MR 915824 Zbl 0669.​58036

[75]I. M. Sing­er: “Some prob­lems in the quant­iz­a­tion of gauge the­or­ies and string the­or­ies,” pp. 199–​216 in The math­em­at­ic­al her­it­age of Her­mann Weyl (Durham, NC, 1987). Proc. Sym­pos. Pure Math. 48. Amer. Math. Soc. (Provid­ence, RI), 1988. MR 974336 Zbl 0702.​58010

[76]G. Moore, J. Har­ris, P. Nel­son, and I. Sing­er: “Er­rata: ‘Mod­u­lar forms and the cos­mo­lo­gic­al con­stant’,” Phys. Lett. B 201 : 4 (1988), pp. 579. MR 929610

[77]L. Bau­lieu and I. M. Sing­er: “To­po­lo­gic­al Yang–Mills sym­metry,” Nuc­le­ar Phys. B Proc. Sup­pl. 5B (1988), pp. 12–​19. MR 1002954 Zbl 0958.​58500

[78]R. See­ley and I. M. Sing­er: “Ex­tend­ing \( \overline\partial \) to sin­gu­lar Riemann sur­faces,” J. Geom. Phys. 5 : 1 (1988), pp. 121–​136. MR 1027535 Zbl 0692.​30038

[79]Math­em­at­ics: the uni­fy­ing thread in sci­ence,” Pok­roky Mat. Fyz. As­tro­nom. 34 : 3 (1989), pp. 129–​142. MR 1007790

[80]T. R. Ra­ma­das, I. M. Sing­er, and J. Weits­man: “Some com­ments on Chern–Si­mons gauge the­ory,” Comm. Math. Phys. 126 : 2 (1989), pp. 409–​420. MR 1027504 Zbl 0686.​53066

[81]L. Bau­lieu and I. M. Sing­er: “The to­po­lo­gic­al sigma mod­el,” Comm. Math. Phys. 125 : 2 (1989), pp. 227–​237. MR 1016870 Zbl 0684.​57016

[82]The leg­acy of John von Neu­mann (Hof­stra Uni­versity, Hemp­stead, NY, May 29–June 4, 1988). Edi­ted by J. Glimm, J. Im­pagliazzo, and I. Sing­er. Pro­ceed­ings of Sym­po­sia in Pure Math­em­at­ics 50. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1990. MR 1067743

[83]O. Al­varez, I. M. Sing­er, and P. Windey: “Quantum mech­an­ics and the geo­metry of the Weyl char­ac­ter for­mula,” Nuc­le­ar Phys. B 337 : 2 (1990), pp. 467–​486. MR 1057724

[84]M. And­ler: “En­tre­tien avec Is­ad­ore Sing­er,” Gaz. Math. 43 (1990), pp. 3–​10. MR 1035386

[85]L. Bau­lieu and I. M. Sing­er: “Con­form­ally in­vari­ant gauge fixed ac­tions for 2-D to­po­lo­gic­al grav­ity,” Comm. Math. Phys. 135 : 2 (1991), pp. 253–​265. MR 1087384 Zbl 0725.​53071

[86]Geo­metry and phys­ics: Es­says in hon­our of I. M. Gel’fand. Edi­ted by S. Gindikin and I. M. Sing­er. Pit­agora Editrice (Bo­logna), 1991. Re­print of J. Geom. Phys. \texb­f5 (1988). MR 1143808

[87]I. M. Sing­er: “The new math­em­at­ic­al phys­ics,” pp. 187–​191 in Ele­ment­ary particles and the uni­verse (Pas­adena, CA, 1989). Cam­bridge Univ. Press, 1991. MR 1145030

[88] incollection I. M. Sing­er: “For Chern volume,” pp. 88–​90 in S. S. Chern: A great geo­met­er of the twen­ti­eth cen­tury. Edi­ted by S.-T. Yau. Mono­graphs in geo­metry and to­po­logy. In­ter­na­tion­al Press (Hong Kong), 1992. MR 1201344

[89]O. Al­varez, I. M. Sing­er, and P. Windey: “The su­per­sym­met­ric \( \sigma \)-mod­el and the geo­metry of the Weyl–Kac char­ac­ter for­mula,” Nuc­le­ar Phys. B 373 : 3 (1992), pp. 647–​687. MR 1159678

[90]S. Axel­rod and I. M. Sing­er: “Chern–Si­mons per­turb­a­tion the­ory,” pp. 3–​45 in Pro­ceed­ings of the XX-th In­ter­na­tion­al Con­fer­ence on dif­fer­en­tial geo­met­ric meth­ods in the­or­et­ic­al phys­ics (New York, 1991). World Sci. Publ. (River Edge, NJ), 1992. MR 1225107 Zbl 0813.​53051

[91]I. M. Sing­er: The cur­rent in­ter­face of geo­metry and ele­ment­ary particle phys­ics (Bal­timore, MD, Janu­ary 1992). AMS-MAA Joint Lec­ture Series. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1994. One 90-min. video­cas­sette. MR 1284042 Zbl 0803.​53002

[92]S. Axel­rod and I. M. Sing­er: “Chern–Si­mons per­turb­a­tion the­ory. II,” pp. 17–​49 in Per­spect­ives in math­em­at­ic­al phys­ics. Conf. Proc. Lec­ture Notes Math. Phys. III. Int. Press (Cam­bridge, MA), 1994. MR 1314660 Zbl 0889.​53053

[93]S. Axel­rod and I. M. Sing­er: “Chern–Si­mons per­turb­a­tion the­ory. II,” J. Dif­fer­en­tial Geom. 39 : 1 (1994), pp. 173–​213. MR 1258919 Zbl 0827.​53057

[94]Cur­rent de­vel­op­ments in math­em­at­ics, 1995 (Bo­ston, MA, 7–8 May 1995). Edi­ted by R. Bott, A. Jaffe, S.-T. Yau, M. Hop­kins, I. Sing­er, and D. Stroock. In­ter­na­tion­al Press (Cam­bridge, MA), 1995. MR 1474976 Zbl 0833.​00016 book

[95]I. M. Sing­er: “On the mas­ter field in two di­men­sions,” pp. 263–​281 in Func­tion­al ana­lys­is on the eve of the 21st cen­tury (New Brun­swick, NJ, 1993), vol. 1. Pro­gr. Math. 131. Birkhäuser (Bo­ston, MA), 1995. MR 1373007 Zbl 0861.​53075

[96]I. M. Sing­er: “Trib­ute to I. M. Gel’fand for his 80th birth­day cel­eb­ra­tion,” pp. xix–​xxii in Func­tion­al ana­lys­is on the eve of the 21st cen­tury (New Brun­swick, NJ, 1993), vol. 1. Pro­gr. Math. 131. Birkhäuser (Bo­ston, MA), 1995. MR 1372997

[97]I. M. Sing­er: “Trib­ute to I. M. Gel­fand for his 80th birth­day cel­eb­ra­tion,” pp. xix–​xxii in Func­tion­al ana­lys­is on the eve of the 21st cen­tury (New Brun­swick, NJ, 1993), vol. II. Pro­gr. Math. 132. Birkhäuser (Bo­ston, MA), 1996. MR 1389018

[98]I. M. Sing­er and H. Wu: “A trib­ute to War­ren Am­brose,” No­tices Amer. Math. Soc. 43 : 4 (1996), pp. 425–​427. MR 1379775 Zbl 1044.​01546

[99]Cur­rent de­vel­op­ments in math­em­at­ics, 1996 (Cam­bridge, MA, 1997). Edi­ted by R. Bott, A. Jaffe, D. Jer­is­on, G. Lusztig, I. Sing­er, and S.-T. Yau. In­ter­na­tion­al Press (Cam­bridge, MA), 1997. MR 1724942 Zbl 0899.​00015 book

[100]The leg­acy of Norbert Wien­er: A centen­ni­al sym­posi­um (Mas­sachu­setts In­sti­tute of Tech­no­logy, Oc­to­ber 8–14, 1994). Edi­ted by D. Jer­is­on, I. M. Sing­er, and D. W. Stroock. Pro­ceed­ings of Sym­po­sia in Pure Math­em­at­ics 60. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1997. MR 1460268

[101]L. Bau­lieu, H. Kan­no, and I. M. Sing­er: “Co­homo­lo­gic­al Yang–Mills the­ory in eight di­men­sions,” pp. 365–​373 in Du­al­it­ies in gauge and string the­or­ies (Seoul/Sokcho, 1997). World Sci. Publ. (River Edge, NJ), 1998. MR 1712267 Zbl 1052.​53508

[102]L. Bau­lieu, H. Kan­no, and I. M. Sing­er: “Spe­cial quantum field the­or­ies in eight and oth­er di­men­sions,” Comm. Math. Phys. 194 : 1 (1998), pp. 149–​175. MR 1628298 Zbl 0910.​53054

[103]Cur­rent de­vel­op­ments in math­em­at­ics, 1997 (Cam­bridge, MA, 1997). Edi­ted by R. Bott, A. Jaffe, D. Jer­is­on, G. Lusztig, I. Sing­er, and S.-T. Yau. In­ter­na­tion­al Press (Somerville, MA), 1999. MR 1698851 Zbl 0927.​00019 book

[104]Cur­rent de­vel­op­ments in math­em­at­ics, 1998 (Cam­bridge, MA, 1998). Edi­ted by B. Mazur, W. Schmid, S.-T. Yau, D. Jer­is­on, I. M. Sing­er, and D. Stroock. In­ter­na­tion­al Press (Somerville, MA), 1999. MR 1772320 Zbl 0963.​00022 book

[105]Cur­rent de­vel­op­ments in math­em­at­ics, 1999 (Cam­bridge, MA, 1999). Edi­ted by B. Mazur, W. Schmid, S.-T. Yau, D. Jer­is­on, I. M. Sing­er, and D. Stroock. In­ter­na­tion­al Press (Somerville, MA), 1999. MR 1990245 Zbl 1051.​00008 book

[106]Pa­pers ded­ic­ated to Atiyah, Bott, Hirzebruch, and Sing­er. Edi­ted by S.-T. Yau. Sur­veys in Dif­fer­en­tial Geo­metry (sup­ple­ment to Journ­al of Dif­fer­en­tial Geo­metry) 7. In­ter­na­tion­al Press (Somerville, MA), 2000. MR 1919419 book

[107]2000 Steele Prizes,” No­tices Am. Math. Soc. 47 : 4 (April 2000), pp. 477–​480. MR 1745621 Zbl 1040.​01503 article

[108]R. V. Kadis­on: “Which Sing­er is that?,” pp. 347–​373 in Sur­veys in dif­fer­en­tial geo­metry. Surv. Dif­fer. Geom. VII. Int. Press (Somerville, MA), 2000. MR 1919431 Zbl 1075.​01010

[109]O. Al­varez and I. M. Sing­er: “Bey­ond the el­lipt­ic genus,” Nuc­le­ar Phys. B 633 : 3 (2002), pp. 309–​344. MR 1910266 Zbl 0995.​58016

[110]The founders of in­dex the­ory: Re­min­is­cences of Atiyah, Bott, Hirzebruch, and Sing­er. Edi­ted by S.-T. Yau. In­ter­na­tion­al Press (Somerville, MA), 2003. 2nd edi­tion was pub­lished in 2009. MR 2136846 Zbl 1072.​01021 book

[111]In­ter­view with Mi­chael Atiyah and Is­ad­ore Sing­er,” Mitt. Dtsch. Math.-Ver. 12 : 4 (2004), pp. 272–​281. Re­pub­lished from Eur. Math. Soc. Newsl. (Septem­ber 2004). See also No­tices Amer. Math. Soc. 52:2 (2005). MR 2110686 article

[112]Norwegian Academy of Science and Letters: “Atiyah and Sing­er re­ceive 2004 Abel Prize,” No­tices Amer. Math. Soc. 51 : 6 (2004), pp. 649–​650. Press re­lease. MR 2064152 article

[113]M. Raussen and C. Skau: “In­ter­view with Mi­chael Atiyah and Is­ad­ore Sing­er,” No­tices Amer. Math. Soc. 52 : 2 (2005), pp. 225–​233. Re­pub­lished from Eur. Math. Soc. Newsl. (Septem­ber 2004). See also Mitt. Dtsch. Math.-Ver. 12:4 (2004). MR 2110633 Zbl 1142.​01347 article

[114]V. Math­ai, R. B. Mel­rose, and I. M. Sing­er: “The in­dex of pro­ject­ive fam­il­ies of el­lipt­ic op­er­at­ors,” Geom. To­pol. 9 (2005), pp. 341–​373. MR 2140985 Zbl 1083.​58021

[115]M. J. Hop­kins and I. M. Sing­er: “Quad­rat­ic func­tions in geo­metry, to­po­logy, and M-the­ory,” J. Dif­fer­en­tial Geom. 70 : 3 (2005), pp. 329–​452. MR 2192936 Zbl 1116.​58018

[116]V. Math­ai, R. B. Mel­rose, and I. M. Sing­er: “Frac­tion­al ana­lyt­ic in­dex,” J. Dif­fer­en­tial Geom. 74 : 2 (2006), pp. 265–​292. MR 2258800 Zbl 1115.​58021

[117]The unity of math­em­at­ics: In hon­or of the nineti­eth birth­day of I. M. Gel­fand (Cam­bridge, MA, Au­gust 31–Septem­ber 4, 2003). Edi­ted by P. Etin­gof, V. Re­takh, and I. M. Sing­er. Pro­gress in Math­em­at­ics 244. Birkhäuser (Bo­ston, MA), 2006. MR 2182597

[118]Quantum field the­ory, su­per­sym­metry, and enu­mer­at­ive geo­metry (Prin­ceton, NJ, 2001). Edi­ted by D. S. Freed, D. R. Mor­ris­on, and I. Sing­er. IAS/Park City Math­em­at­ics Series 11. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 2006. MR 2265374

[119]V. Math­ai, R. B. Mel­rose, and I. M. Sing­er: “Equivari­ant and frac­tion­al in­dex of pro­ject­ive el­lipt­ic op­er­at­ors,” J. Dif­fer­en­tial Geom. 78 : 3 (2008), pp. 465–​473. MR 2396250 Zbl 1147.​58018

[120]The founders of in­dex the­ory: Re­min­is­cences of Atiyah, Bott, Hirzebruch, and Sing­er, 2nd edition. Edi­ted by S.-T. Yau. In­ter­na­tion­al Press (Somerville, MA), 2009. Ori­gin­al edi­tion was pub­lished in 2003. MR 2547480 Zbl 1195.​01090 book

[121]V. Math­ai, R. B. Mel­rose, and I. M. Sing­er: The in­dex of pro­ject­ive fam­il­ies of el­lipt­ic op­er­at­ors: The de­com­pos­able case, 2009. MR 2674880 Zbl 1207.​19006

[122]D. Burns, L. Ji, K. Liu, A. Ran­icki, and S.-T. Yau: “Pre­face,” pp. 1–​3 in Spe­cial is­sue: In hon­or of Mi­chael Atiyah and Is­ad­ore Sing­er, published as Pure Ap­pl. Math. Q. 6 : 2 (2010). MR 2761847 incollection

[123]The Abel Prize, 2003–2007: The first five years. Edi­ted by H. Hold­en and R. Piene. Spring­er (Ber­lin), 2010. MR 2605604 book

[124]O. Al­varez and I. M. Sing­er: “Bey­ond the string genus,” Nuc­le­ar Phys. B 850 : 2 (2011), pp. 349–​386. MR 2803587