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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
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
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
Linking options:
https://www.mathnet.ru/eng/sm497https://doi.org/10.1070/sm2000v191n08ABEH000497 https://www.mathnet.ru/eng/sm/v191/i8/p3
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Abstract page: | 720 | Russian version PDF: | 326 | English version PDF: | 39 | References: | 101 | First page: | 3 |
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