The Lefschetz property, formality and blowing up in symplectic geometry

Cavalcanti, Gil

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

The Lefschetz property, formality and blowing up in symplectic geometry

Author: Gil Ramos Cavalcanti
Journal: Trans. Amer. Math. Soc. 359 (2007), 333-348
MSC (2000): Primary 53D35; Secondary 57R19
DOI: https://doi.org/10.1090/S0002-9947-06-04058-X
Published electronically: August 15, 2006
MathSciNet review: 2247894
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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.

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