Massey products in symplectic manifolds

I. K. Babenko   ; I. A. Taimanov

Sbornik. Mathematics, Tome 191 (2000) no. 8, pp. 1107-1146

Résumé

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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