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Mat. Zametki, 1990, Volume 47, Issue 2, Pages 34–45 (Mi mz3166)  

This article is cited in 23 scientific papers (total in 23 papers)

Generalized elliptic genera and Baker–Akhiezer functions

I. M. Krichever

Institute for Problems in Mechanics, USSR Academy of Sciences

Full text: PDF file (1185 kB)

English version:
Mathematical Notes, 1990, 47:2, 132–142

Bibliographic databases:

UDC: 517
Received: 02.10.1989

Citation: I. M. Krichever, “Generalized elliptic genera and Baker–Akhiezer functions”, Mat. Zametki, 47:2 (1990), 34–45; Math. Notes, 47:2 (1990), 132–142

Citation in format AMSBIB
\by I.~M.~Krichever
\paper Generalized elliptic genera and Baker--Akhiezer functions
\jour Mat. Zametki
\yr 1990
\vol 47
\issue 2
\pages 34--45
\jour Math. Notes
\yr 1990
\vol 47
\issue 2
\pages 132--142

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    This publication is cited in the following articles:
    1. T. E. Panov, “Calculation of Hirzebruch genera for manifolds acted on by the group $\mathbf Z/p$ via invariants of the action”, Izv. Math., 62:3 (1998), 515–548  mathnet  crossref  crossref  mathscinet  zmath  isi
    2. V. M. Buchstaber, N. Ray, “Universal equivariant genus and Krichever's formula”, Russian Math. Surveys, 62:1 (2007), 178–180  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    3. O. R. Musin, “Converse theorem on equivariant genera”, Russian Math. Surveys, 64:4 (2009), 753–755  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    4. V. M. Buchstaber, “The general Krichever genus”, Russian Math. Surveys, 65:5 (2010), 979–981  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    5. Buchstaber V. Panov T. Ray N., “Toric Genera”, Int. Math. Res. Notices, 2010, no. 16, 3207–3262  crossref  isi
    6. Oleg R. Musin, “On rigid Hirzebruch genera”, Mosc. Math. J., 11:1 (2011), 139–147  mathnet  crossref  mathscinet
    7. V. M. Buchstaber, E. Yu. Bun'kova, “Krichever Formal Groups”, Funct. Anal. Appl., 45:2 (2011), 99–116  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    8. V. M. Buchstaber, “Complex cobordism and formal groups”, Russian Math. Surveys, 67:5 (2012), 891–950  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    9. V. M. Buchstaber, E. Yu. Netay, “$\mathbb{C}P(2)$-multiplicative Hirzebruch genera and elliptic cohomology”, Russian Math. Surveys, 69:4 (2014), 757–759  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    10. M. Bakuradze, “On the Buchstaber formal group law and some related genera”, Proc. Steklov Inst. Math., 286 (2014), 1–15  mathnet  crossref  crossref  isi  elib  elib
    11. V. M. Bukhshtaber, E. Yu. Bunkova, “Universalnaya formalnaya gruppa, opredelyayuschaya ellipticheskuyu funktsiyu urovnya 3”, Chebyshevskii sb., 16:2 (2015), 66–78  mathnet  elib
    12. V. M. Buchstaber, E. Yu. Bunkova, “Manifolds of solutions for Hirzebruch functional equations”, Proc. Steklov Inst. Math., 290:1 (2015), 125–137  mathnet  crossref  crossref  isi  elib  elib
    13. V. M. Buchstaber, A. V. Ustinov, “Coefficient rings of formal group laws”, Sb. Math., 206:11 (2015), 1524–1563  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    14. V. M. Buchstaber, I. V. Netay, “Hirzebruch Functional Equation and Elliptic Functions of Level $d$”, Funct. Anal. Appl., 49:4 (2015), 239–252  mathnet  crossref  crossref  isi  elib
    15. E. Yu. Bunkova, V. M. Buchstaber, A. V. Ustinov, “Coefficient rings of Tate formal groups determining Krichever genera”, Proc. Steklov Inst. Math., 292 (2016), 37–62  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    16. E. Yu. Bunkova, “Elliptic function of level $4$”, Proc. Steklov Inst. Math., 294 (2016), 201–214  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    17. Mina Aganagic, Andrei Okounkov, “Quasimap counts and Bethe eigenfunctions”, Mosc. Math. J., 17:4 (2017), 565–600  mathnet  crossref
    18. I. V. Netay, “Hirzebruch Functional Equations and Krichever Complex Genera”, Math. Notes, 103:2 (2018), 232–242  mathnet  crossref  crossref  mathscinet  isi  elib
    19. V. M. Buchstaber, “Cobordisms, manifolds with torus action, and functional equations”, Proc. Steklov Inst. Math., 302 (2018), 48–87  mathnet  crossref  crossref  mathscinet  isi  elib
    20. Elena Yu. Bunkova, “Hirzebruch functional equation: classification of solutions”, Proc. Steklov Inst. Math., 302 (2018), 33–47  mathnet  crossref  crossref  mathscinet  isi  elib
    21. Gottsche L., Kool M., “A Rank 2 Dijkgraaf-Moore-Verlinde-Verlinde Formula”, Commun. Number Theory Phys., 13:1 (2019), 165–201  crossref  zmath  isi
    22. E. Yu. Bunkova, “Universal Formal Group for Elliptic Genus of Level $N$”, Proc. Steklov Inst. Math., 305 (2019), 33–52  mathnet  crossref  crossref  mathscinet  isi  elib
    23. Malkhaz Bakuradze, Vladimir V. Vershinin, “On Addition Theorems Related to Elliptic Integrals”, Proc. Steklov Inst. Math., 305 (2019), 22–32  mathnet  crossref  crossref  mathscinet  isi  elib
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