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Mat. Sb. (N.S.), 1969, Volume 80(122), Number 3(11), Pages 307–313 (Mi msb3620)  

This article is cited in 10 scientific papers (total in 10 papers)

Bordisms with the action of the group $Z_p$ and fixed points

A. S. Mishchenko


Abstract: A full description of the ring of unitary bordisms with the action of $Z_p$ and of the ring of all admissible collections of fixed submanifolds under the action of $Z_p$ is given in terms of generators and relations. The calculations are based on a special choice of polynomial generators in the ordinary ring of unitary bordisms and Poincare duality in bordism theory.
Bibliography: 3 titles.

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English version:
Mathematics of the USSR-Sbornik, 1969, 9:3, 291–296

Bibliographic databases:

UDC: 513.836
MSC: 55N22, 55M20, 20F05
Received: 16.09.1968

Citation: A. S. Mishchenko, “Bordisms with the action of the group $Z_p$ and fixed points”, Mat. Sb. (N.S.), 80(122):3(11) (1969), 307–313; Math. USSR-Sb., 9:3 (1969), 291–296

Citation in format AMSBIB
\Bibitem{Mis69}
\by A.~S.~Mishchenko
\paper Bordisms with the action of the group $Z_p$ and fixed points
\jour Mat. Sb. (N.S.)
\yr 1969
\vol 80(122)
\issue 3(11)
\pages 307--313
\mathnet{http://mi.mathnet.ru/msb3620}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=276987}
\zmath{https://zbmath.org/?q=an:0212.56303}
\transl
\jour Math. USSR-Sb.
\yr 1969
\vol 9
\issue 3
\pages 291--296
\crossref{https://doi.org/10.1070/SM1969v009n03ABEH001285}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. V. M. Buhštaber, S. P. Novikov, “Formal groups, power systems and Adams operators”, Math. USSR-Sb., 13:1 (1971), 80–116  mathnet  crossref  mathscinet  zmath
    2. V. M. Buchstaber, A. S. Mishchenko, S. P. Novikov, “Formal groups and their role in the apparatus of algebraic topology”, Russian Math. Surveys, 26:2 (1971), 63–90  mathnet  crossref  mathscinet  zmath
    3. S. M. Gusein-Zade, “Nepodvizhnye tochki $U$-deistvii okruzhnosti”, UMN, 26:4(160) (1971), 250–250  mathnet  mathscinet  zmath
    4. S. M. Gusein-Zade, “$U$-actions of a circle and fixed points”, Math. USSR-Izv., 5:5 (1971), 1127–1143  mathnet  crossref  mathscinet  zmath
    5. S. M. Gusein-Zade, I. M. Krichever, “O formulakh dlya nepodvizhnykh tochek deistviya gruppy $Z_p$”, UMN, 28:1(169) (1973), 237–238  mathnet  mathscinet  zmath
    6. I. M. Krichever, “Actions of finite cyclic groups on quasicomplex manifolds”, Math. USSR-Sb., 19:2 (1973), 305–319  mathnet  crossref  mathscinet  zmath
    7. I. M. Krichever, “Formal groups and the Atiyah–Hirzebruch formula”, Math. USSR-Izv., 8:6 (1974), 1271–1285  mathnet  crossref  mathscinet  zmath
    8. O. R. Musin, “Generators of $S^1$-bordism”, Math. USSR-Sb., 44:3 (1983), 325–334  mathnet  crossref  mathscinet  zmath
    9. Buchstaber V., Panov T., Ray N., “Toric Genera”, International Mathematics Research Notices, 2010, no. 16, 3207–3262  isi  elib
    10. 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
  • Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics (from 1967)
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