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Matematicheskie Zametki, 1971, Volume 10, Issue 5, Pages 511–518 (Mi mzm7078)  
This article is cited in 5 scientific papers (total in 5 papers)

On the action of a circle on manifolds

S. M. Gusein-Zade

M. V. Lomonosov Moscow State University
Full-text PDF (635 kB) Citations (5)
Abstract: The bordism groups of actions of a circle are calculated in the complex case and (in particular) in the oriented case; it is proved that certain systems of elements in them are linearly independent.
Received: 08.06.1970
English version:
Mathematical Notes, 1971, Volume 10, Issue 5, Pages 731–734
DOI: https://doi.org/10.1007/BF01109033
Bibliographic databases:
UDC: 512.4
Language: Russian
Citation: S. M. Gusein-Zade, “On the action of a circle on manifolds”, Mat. Zametki, 10:5 (1971), 511–518; Math. Notes, 10:5 (1971), 731–734
Citation in format AMSBIB
\Bibitem{Gus71}
\by S.~M.~Gusein-Zade
\paper On the action of a~circle on manifolds
\jour Mat. Zametki
\yr 1971
\vol 10
\issue 5
\pages 511--518
\mathnet{http://mi.mathnet.ru/mzm7078}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=358839}
\zmath{https://zbmath.org/?q=an:0227.57014}
\transl
\jour Math. Notes
\yr 1971
\vol 10
\issue 5
\pages 731--734
\crossref{https://doi.org/10.1007/BF01109033}
Linking options:
  • https://www.mathnet.ru/eng/mzm7078
  • https://www.mathnet.ru/eng/mzm/v10/i5/p511
    • This publication is cited in the following 5 articles:
    1. 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
    2. 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
    3. Buchstaber V., Panov T., Ray N., “Toric Genera”, Int. Math. Res. Notices, 2010, no. 16, 3207–3262  crossref  isi
    4. Viktor L. Ginzburg, Victor Guillemin, Yael Karshon, “Assignments and abstract moment maps”, J. Differential Geom., 52:2 (1999)  crossref
    5. O. R. Musin, “Generators of S1-bordism”, Math. USSR-Sb., 44:3 (1983), 325–334  mathnet  crossref  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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