The Lefschetz property, formality and blowing up in symplectic geometry

Details The Lefschetz property, formality and blowing up in symplectic geometry The Lefschetz property, formality and blowing up in symplectic geometry

2004-03-03

arxiv.org/abs/math/0403067v2

Trans. Amer. Math. Soc. 359 (2007), 333--348.

Mathematics

Symplectic Geometry

19 pages. Minor changes in the text, typos corrected. To appear in Trans. Amer. Math. Soc

Scientific paper

In this paper we study the behaviour of the Lefschetz property under the blow-up construction. We show that it is possible to reduce the dimension of the kernel of the Lefschetz map if we blow up along a suitable submanifold satisfying the Lefschetz property. We use that, together with results about Massey products, to construct nonformal (simply connected) symplectic manifolds satisfying the Lefschetz property.

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