Massey products in symplectic manifolds

Details Massey products in symplectic manifolds Massey products in symplectic manifolds

1999-11-17

arxiv.org/abs/math/9911132v1

Sb. Math. 191 (2000), 1107-1146.

Mathematics

Symplectic Geometry

LaTeX, 48 pages, 2 figures

Scientific paper

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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