The Lefschetz property, formality and blowing up in symplectic geometry

@misc{citeulike:466580, 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.}, archivePrefix = {arXiv}, author = {Cavalcanti, Gil R.}, citeulike-article-id = {466580}, eprint = {math.SG/0403067}, keywords = {blow-up, formality, lefschetz, symplectic}, month = {Apr}, posted-at = {2006-01-17 02:00:56}, priority = {2}, title = {The Lefschetz property, formality and blowing up in symplectic geometry}, url = {http://arxiv.org/abs/math.SG/0403067}, year = {2005} }

TY - ELEC ID - citeulike:466580 L3 - citeulike-article-id:466580 N2 - 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. TI - The Lefschetz property, formality and blowing up in symplectic geometry KW - blow-up KW - formality KW - lefschetz KW - symplectic AU - Cavalcanti, Gil PY - 2005/Apr/06/ UR - http://arxiv.org/abs/math.SG/0403067 ER -