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.
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