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Sfb 288 Differential Geometry and Quantum Physics |
Abstract for Sfb Preprint No. 422
Massey products in symplectic manifolds I.K. Babenko and I.A. Taimanov
The paper is devoted to study of Massey products in symplectic manifolds. Theory of generalized and classical Massey products and a general construction of symplectic manifolds with nontrivial Massey products of arbitrary large order are exposed. The construction uses the symplectic blow-up and is based on the author results, which describe conditions under which the blow-up of a symplectic manifold $X$ along its submanifold $Y$ inherits nontrivial Massey products from $X$ ot $Y$. This gives a general construction of nonformal symplectic manifolds.
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