Celebratio Mathematica

Dmitry Fuchs

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Interview with Dmitry Borisovich Fuchs

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A. M. Vino­gradov, B. De­lone, and D. Fuks: “Ra­tion­al ap­prox­im­a­tions to ir­ra­tion­al num­bers with bounded par­tial quo­tients,” Dokl. Akad. Nauk SSSR (N.S.) 118 : 5 (1958), pp. 862–​865. MR 101227 Zbl 0080.​26502 article

I. M. Gel’fand and D. B. Fuks: “Co­homo­lo­gies of the Lie al­gebra of vec­tor fields on the circle,” Funk­cion­al. Anal. i Priložen. 2 : 4 (1968), pp. 92–​93. An Eng­lish trans­la­tion was pub­lished in Funct. Anal. Ap­pl. 2:4 (1968). MR 245035 article

D. B. Fuks: “Quil­len­iz­a­tion and bor­d­isms,” Funk­cion­al. Anal. i Priložen. 8 : 1 (1974), pp. 36–​42. An Eng­lish trans­la­tion was pub­lished in Funct. Anal. Ap­pl. 8:1 (1974). MR 343301 article

B. L. Feĭ­gin and D. B. Fuks: “In­vari­ant skew-sym­met­ric dif­fer­en­tial op­er­at­ors on the line and Verma mod­ules over the Vi­ra­s­oro al­gebra,” Funct. Anal. Ap­pl. 16 : 2 (1982), pp. 114–​126. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Funkts. Anal. Prilozh. 16:2 (1982). MR 659165 Zbl 0505.​58031 article

D. B. Fuks and V. A. Rokh­lin: Be­gin­ner’s course in to­po­logy: Geo­met­ric chapters. Uni­versitext. Spring­er (Ber­lin), 1984. Eng­lish trans­la­tion of 1977 Rus­si­an ori­gin­al. MR 759162 Zbl 0562.​54003 book

D. B. Fuks: Co­homo­logy of in­fin­ite-di­men­sion­al Lie al­geb­ras. Con­tem­por­ary So­viet math­em­at­ics. Con­sult­ants Bur­eau (New York), 1986. Eng­lish trans­la­tion of 1984 Rus­si­an ori­gin­al. MR 874337 Zbl 0667.​17005 book

F. G. Ma­likov, B. L. Fei­gin, and D. B. Fuks: “Sin­gu­lar vec­tors in Verma mod­ules over Kac–Moody al­geb­ras,” Funkt­sion­al. Anal. i Prilozhen. 20 : 2 (1986), pp. 25–​37. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Funct. Anal. Ap­pl. 20:2 (1986). MR 847136 article

D. Fuchs: “On po­et­ic feet,” Kvant 2 (1988), pp. 17–​24. In Rus­si­an. article

D. Fuchs: “Chekan­ov–Eli­ash­berg in­vari­ant of Le­gendri­an knots: Ex­ist­ence of aug­ment­a­tions,” J. Geom. Phys. 47 : 1 (July 2003), pp. 43–​65. MR 1985483 Zbl 1028.​57005 article

A. Fo­men­ko and D. Fuchs: Ho­mo­top­ic­al to­po­logy, 2nd trans­lated edition. Gradu­ate Texts in Math­em­at­ics 273. Spring­er (Cham), 2016. First two chapters writ­ten in col­lab­or­a­tion with Vic­tor Gut­en­mach­er. Second, ex­pan­ded, edi­tion of the 1986 Eng­lish trans­la­tion of the 1968 Rus­si­an ori­gin­al. MR 3497000 Zbl 1346.​55001 book