The Lefschetz property, formality and blowing up in symplectic geometry
Symplectic Geometry
2007-05-23 v2 Differential Geometry
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.
Keywords
Cite
@article{arxiv.math/0403067,
title = {The Lefschetz property, formality and blowing up in symplectic geometry},
author = {Gil R. Cavalcanti},
journal= {arXiv preprint arXiv:math/0403067},
year = {2007}
}
Comments
19 pages. Minor changes in the text, typos corrected. To appear in Trans. Amer. Math. Soc