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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 231, Pages 169–179 (Mi znsl3747)  
This article is cited in 1 scientific paper (total in 1 paper)

Topology of manifolds and varieties

The intersection form of the result of gluing manifolds with degenerate intersection forms

O. A. Ivanov, N. Yu. Netsvetaev

Saint-Petersburg State University
Full-text PDF (527 kB) Citations (1)
Abstract: It is proved that the intersection form of the result of gluing together two compact oriented $4k$-dimensional manifolds along their boundaries can be (noncanonically) represented as the direct sum of a split form, whose rank is determined by the images of the inclusions of the free parts of the middle homology groups of the boundaries, and a form which is the result of gluing together nondegenerate parts of the intersection forms of the initial manifolds. Bibl. 6 titles.
Received: 11.03.1995
English version:
Journal of Mathematical Sciences (New York), 1998, Volume 91, Issue 6, Pages 3440–3447
DOI: https://doi.org/10.1007/BF02434920
Bibliographic databases:
Document Type: Article
UDC: 515.164+511.34
Language: Russian
Citation: O. A. Ivanov, N. Yu. Netsvetaev, “The intersection form of the result of gluing manifolds with degenerate intersection forms”, Investigations in topology. Part 8, Zap. Nauchn. Sem. POMI, 231, POMI, St. Petersburg, 1995, 169–179; J. Math. Sci. (New York), 91:6 (1998), 3440–3447
Citation in format AMSBIB
\Bibitem{IvaNet95}
\by O.~A.~Ivanov, N.~Yu.~Netsvetaev
\paper The intersection form of the result of gluing manifolds with degenerate intersection forms
\inbook Investigations in topology. Part~8
\serial Zap. Nauchn. Sem. POMI
\yr 1995
\vol 231
\pages 169--179
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3747}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1434290}
\zmath{https://zbmath.org/?q=an:0907.57018|0892.57015}
\transl
\jour J. Math. Sci. (New York)
\yr 1998
\vol 91
\issue 6
\pages 3440--3447
\crossref{https://doi.org/10.1007/BF02434920}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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