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Sbornik: Mathematics, 2000, Volume 191, Issue 8, Pages 1107–1146
DOI: https://doi.org/10.1070/sm2000v191n08ABEH000497
(Mi sm497)
 

This article is cited in 25 scientific papers (total in 26 papers)

Massey products in symplectic manifolds

I. K. Babenkoa, I. A. Taimanovb

a M. V. Lomonosov Moscow State University
b Institute of Mathematics, Siberian Branch of USSR Academy of Sciences
References:
Abstract: Massey products in symplectic manifolds are studied. A general method for the construction of symplectic manifolds with non-trivial Massey products of arbitrarily high order is put forward. This method uses symplectic blow-up. The authors find conditions guaranteeing that the symplectic blow-up of $X$ along a submanifold $Y$ inherits non-trivial Massey products from $X$ and $Y$. As a result, a general construction of non-formal symplectic manifolds by means of symplectic blow-ups is developed.
Received: 14.12.1999
Russian version:
Matematicheskii Sbornik, 2000, Volume 191, Number 8, Pages 3–44
DOI: https://doi.org/10.4213/sm497
Bibliographic databases:
UDC: 512.77
MSC: 55S30, 53C15
Language: English
Original paper language: Russian
Citation: I. K. Babenko, I. A. Taimanov, “Massey products in symplectic manifolds”, Mat. Sb., 191:8 (2000), 3–44; Sb. Math., 191:8 (2000), 1107–1146
Citation in format AMSBIB
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\paper Massey products in symplectic manifolds
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Linking options:
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  • https://doi.org/10.1070/sm2000v191n08ABEH000497
  • https://www.mathnet.ru/eng/sm/v191/i8/p3
  • This publication is cited in the following 26 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1992–2005 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:720
    Russian version PDF:326
    English version PDF:39
    References:101
    First page:3
     
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