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Mathematics of the USSR-Izvestiya, 1984, Volume 22, Issue 2, Pages 211–226
DOI: https://doi.org/10.1070/IM1984v022n02ABEH001439
(Mi im1387)
 

This article is cited in 5 scientific papers (total in 5 papers)

Symplectic cobordism with singularities

V. V. Vershinin
References:
Abstract: It is proved that there exist multiplicative structures in the symplectic bordism theories with singularities of types $\Sigma_n$ and $\Sigma$, where $\Sigma_n=(\theta_1,\Phi_1,\Phi_2,\Phi_4,\dots,\Phi_{2^{n-2}})$ and $\Sigma=(\theta_1,\Phi_1,\Phi_2,\Phi_4,\dots,\Phi_{2^j},\dots)$, and that the ring $MSp^\Sigma_*$ is isomorphic to a polynomial ring $Z[w_1,\dots,w_i,\dots,x_2,x_4,\dots,x_k,\dots]$, where $i=1,2,3,\dots$; $k=2,4,5,\dots$, $k\ne2^j-1$; $\deg w_i=2(2^i-1)$ and $\deg x_k=4k$.
Bibliography: 10 titles.
Received: 09.03.1982
Bibliographic databases:
UDC: 515.142.424+515.142.426
MSC: Primary 57R90; Secondary 55N22, 57R77
Language: English
Original paper language: Russian
Citation: V. V. Vershinin, “Symplectic cobordism with singularities”, Math. USSR-Izv., 22:2 (1984), 211–226
Citation in format AMSBIB
\Bibitem{Ver83}
\by V.~V.~Vershinin
\paper Symplectic cobordism with singularities
\jour Math. USSR-Izv.
\yr 1984
\vol 22
\issue 2
\pages 211--226
\mathnet{http://mi.mathnet.ru/eng/im1387}
\crossref{https://doi.org/10.1070/IM1984v022n02ABEH001439}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=697294}
\zmath{https://zbmath.org/?q=an:0555.55005|0531.55004}
Linking options:
  • https://www.mathnet.ru/eng/im1387
  • https://doi.org/10.1070/IM1984v022n02ABEH001439
  • https://www.mathnet.ru/eng/im/v47/i2/p230
  • This publication is cited in the following 5 articles:
    1. Aleksandr L. Anisimov, Vladimir V. Vershinin, “Symplectic cobordism in small dimensions and a series of elements of order four”, J. Homotopy Relat. Struct, 2012  crossref
    2. Vladimir V. Vershinin, Lecture Notes in Mathematics, 1474, Algebraic Topology Poznań 1989, 1991, 295  crossref
    3. B. I. Botvinnik, “The structure of the ring $MSU_*$”, Math. USSR-Sb., 69:2 (1991), 581–596  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    4. V. V. Vershinin, “On the decomposition of certain spectra”, Math. USSR-Sb., 60:2 (1988), 283–290  mathnet  crossref  mathscinet  zmath
    5. Nigel Ray, “On a construction in bordism theory”, Proc Edin Math Soc, 29:3 (1986), 413  crossref  mathscinet  zmath
    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:360
    Russian version PDF:103
    English version PDF:22
    References:59
    First page:1
     
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