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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
English version PDF (398 kB) Citations (26) Russian version article
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DOI: https://doi.org/10.1070/sm2000v191n08ABEH000497
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
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”, Sb. Math., 191:8 (2000), 1107–1146
Citation in format AMSBIB
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\by I.~K.~Babenko, I.~A.~Taimanov
\paper Massey products in symplectic manifolds
\jour Sb. Math.
\yr 2000
\vol 191
\issue 8
\pages 1107--1146
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    • This publication is cited in the following 26 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Russian version PDF:337
    English version PDF:47
    References:103
    First page:3
     
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