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The Lefschetz property, formality and blowing up in symplectic geometry

by: Gil R. Cavalcanti
(6 Apr 2005)

X Abstract

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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arXiv (abstract), arXiv (PDF)

This article has been bookmarked 2 times, initially on 2006-01-17.

2006-01-17 User eibin
Group NoncommutativeGeometry
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