The lefschetz property, formality and blowing up in symplectic geometry

Gil Ramos Cavalcanti

doi:10.1090/S0002-9947-06-04058-X

The lefschetz property, formality and blowing up in symplectic geometry

Gil Ramos Cavalcanti

Sub Fundamental Mathematics

Research output: Contribution to journal › Article › Academic › peer-review

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 this, together with results about Massey products, to construct compact nonformal symplectic manifolds satisfying the Lefschetz property.

Original language	English
Pages (from-to)	333-348
Number of pages	16
Journal	Transactions of the American Mathematical Society
Volume	359
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9947-06-04058-X
Publication status	Published - Jan 2007

Keywords

Massey products
Strong Lefschetz property
Symplectic blow-up

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10.1090/S0002-9947-06-04058-X

Cite this

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The lefschetz property, formality and blowing up in symplectic geometry

Abstract

Keywords

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