Loading [MathJax]/jax/output/SVG/config.js
Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Matematicheskie Zametki, 1990, Volume 47, Issue 2, Pages 34–45 (Mi mzm3166)  

This article is cited in 50 scientific papers (total in 50 papers)

Generalized elliptic genera and Baker–Akhiezer functions

I. M. Krichever

Institute for Problems in Mechanics, USSR Academy of Sciences
Received: 02.10.1989
English version:
Mathematical Notes, 1990, Volume 47, Issue 2, Pages 132–142
DOI: https://doi.org/10.1007/BF01156822
Bibliographic databases:
UDC: 517
Language: Russian
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
\Bibitem{Kri90}
\by I.~M.~Krichever
\paper Generalized elliptic genera and Baker--Akhiezer functions
\jour Mat. Zametki
\yr 1990
\vol 47
\issue 2
\pages 34--45
\mathnet{http://mi.mathnet.ru/mzm3166}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1048541}
\zmath{https://zbmath.org/?q=an:0702.57006|0692.57014}
\transl
\jour Math. Notes
\yr 1990
\vol 47
\issue 2
\pages 132--142
\crossref{https://doi.org/10.1007/BF01156822}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1990EA94100022}
Linking options:
  • https://www.mathnet.ru/eng/mzm3166
  • https://www.mathnet.ru/eng/mzm/v47/i2/p34
  • This publication is cited in the following 50 articles:
    1. Henry Liu, “Invariance of Elliptic Genus Under Wall-Crossing”, International Mathematics Research Notices, 2025:3 (2025)  crossref
    2. V. M. Buchstaber, A. P. Veselov, “Chern–Dold character in complex cobordisms and theta divisors”, Adv. Math., 449 (2024), 109720  mathnet  crossref
    3. Malkhaz Bakuradze, “Complex Cobordism Modulo $c_1$-Spherical Cobordism and Related Genera”, Proc. Steklov Inst. Math., 326 (2024), 11–20  mathnet  crossref  crossref
    4. Malkhaz Bakuradze, Alexander Gamkrelidze, “On classifying map of the integral Krichever–Hoehn formal group law”, Georgian Mathematical Journal, 30:1 (2023), 47  crossref
    5. Marc Levine, Yaping Yang, Gufang Zhao, “Algebraic elliptic cohomology and flops II: SL-cobordism”, Advances in Mathematics, 384 (2021), 107726  crossref
    6. John F.  R. Duncan, Moscow Lectures, 5, Partition Functions and Automorphic Forms, 2020, 1  crossref
    7. Gottsche L., Kool M., “A Rank 2 Dijkgraaf-Moore-Verlinde-Verlinde Formula”, Commun. Number Theory Phys., 13:1 (2019), 165–201  crossref  zmath  isi
    8. 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
    9. 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
    10. Katrin Wendland, “Hodge-Elliptic Genera and How They Govern K3 Theories”, Commun. Math. Phys., 368:1 (2019), 187  crossref
    11. Marc Levine, Yaping Yang, Gufang Zhao, Joël Riou, “Algebraic elliptic cohomology theory and flops I”, Math. Ann., 375:3-4 (2019), 1823  crossref
    12. I. V. Netay, “Hirzebruch Functional Equations and Krichever Complex Genera”, Math. Notes, 103:2 (2018), 232–242  mathnet  crossref  crossref  mathscinet  isi  elib
    13. 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
    14. Elena Yu. Bunkova, “Hirzebruch functional equation: classification of solutions”, Proc. Steklov Inst. Math., 302 (2018), 33–47  mathnet  crossref  crossref  mathscinet  isi  elib
    15. Thomas Creutzig, John F R Duncan, Wolfgang Riedler, “Self-dual vertex operator superalgebras and superconformal field theory”, J. Phys. A: Math. Theor., 51:3 (2018), 034001  crossref
    16. Anatoly Libgober, “Elliptic genus of singular algebraic varieties and quotients”, J. Phys. A: Math. Theor., 51:7 (2018), 073001  crossref
    17. Mina Aganagic, Andrei Okounkov, “Quasimap counts and Bethe eigenfunctions”, Mosc. Math. J., 17:4 (2017), 565–600  mathnet  crossref
    18. 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
    19. E. Yu. Bunkova, “Elliptic function of level $4$”, Proc. Steklov Inst. Math., 294 (2016), 201–214  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    20. Xiaobo Zhuang, “Vanishing theorems of generalized Witten genus for generalized complete intersections in flag manifolds”, Int. J. Math., 27:09 (2016), 1650076  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:766
    Full-text PDF :273
    First page:4
     
      Contact us:
    math-net2025_04@mi-ras.ru
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025