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Mathematics of the USSR-Izvestiya, 1976, Volume 10, Issue 4, Pages 783–797
DOI: https://doi.org/10.1070/IM1976v010n04ABEH001814
(Mi im2205)
 

This article is cited in 9 scientific papers (total in 9 papers)

Obstructions to the existence of $S^1$-actions. Bordism of ramified coverings

I. M. Krichever
References:
Abstract: In this article the author proves that the values of the multiplicative genera $A_k$ under discussion, where $k=2,3,\dots$, are obstructions to the existence of nontrivial $S^1$-actions on a unitary manifold whose first Chern class is divisible by $k$. The effective computation of these obstructions is carried out for algebraic manifolds. Simultaneously, formulas for the bordism class of a ramified covering are obtained.
Bibliography: 8 titles.
Received: 26.03.1975
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1976, Volume 40, Issue 4, Pages 828–844
Bibliographic databases:
UDC: 513.83
MSC: Primary 55G35, 57D15, 55A10; Secondary 57E25, 57D85
Language: English
Original paper language: Russian
Citation: I. M. Krichever, “Obstructions to the existence of $S^1$-actions. Bordism of ramified coverings”, Izv. Akad. Nauk SSSR Ser. Mat., 40:4 (1976), 828–844; Math. USSR-Izv., 10:4 (1976), 783–797
Citation in format AMSBIB
\Bibitem{Kri76}
\by I.~M.~Krichever
\paper Obstructions to the existence of $S^1$-actions. Bordism of ramified coverings
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1976
\vol 40
\issue 4
\pages 828--844
\mathnet{http://mi.mathnet.ru/im2205}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=440578}
\zmath{https://zbmath.org/?q=an:0341.57024}
\transl
\jour Math. USSR-Izv.
\yr 1976
\vol 10
\issue 4
\pages 783--797
\crossref{https://doi.org/10.1070/IM1976v010n04ABEH001814}
Linking options:
  • https://www.mathnet.ru/eng/im2205
  • https://doi.org/10.1070/IM1976v010n04ABEH001814
  • https://www.mathnet.ru/eng/im/v40/i4/p828
  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:509
    Russian version PDF:114
    English version PDF:9
    References:78
    First page:4
     
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