The Lefschetz property, formality and blowing up in symplectic geometry
| dc.creator | Cavalcanti, Gil R. | |
| dc.date | 2004-03-03 | |
| dc.date | 2005-04-06 | |
| dc.date.accessioned | 2026-07-07T06:33:07Z | |
| dc.date.available | 2026-07-07T06:33:07Z | |
| dc.description | 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. | |
| dc.description | 19 pages. Minor changes in the text, typos corrected. To appear in Trans. Amer. Math. Soc | |
| dc.identifier | https://arxiv.org/abs/math/0403067 | |
| dc.identifier | http://arxiv.org/abs/math/0403067 | |
| dc.identifier | Trans. Amer. Math. Soc. 359 (2007), 333--348. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99088 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Differential Geometry | |
| dc.subject | 53D35 (primary); 57R19 (Secondary) | |
| dc.title | The Lefschetz property, formality and blowing up in symplectic geometry | |
| dc.type | text |