A few remarks about symplectic filling
| dc.creator | Eliashberg, Yakov | |
| dc.date | 2003-11-26 | |
| dc.date | 2004-02-27 | |
| dc.date.accessioned | 2026-07-07T05:03:17Z | |
| dc.date.available | 2026-07-07T05:03:17Z | |
| dc.description | We show that any compact symplectic manifold (W,ω) with boundary embeds as a domain into a closed symplectic manifold, provided that there exists a contact plane ξon dW which is weakly compatible with omega, i.e. the restriction ω|ξdoes not vanish and the contact orientation of dW and its orientation as the boundary of the symplectic manifold W coincide. This result provides a useful tool for new applications by Ozsvath-Szabo of Seiberg-Witten Floer homology theories in three-dimensional topology and has helped complete the Kronheimer-Mrowka proof of Property P for knots. | |
| dc.description | Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol8/paper6.abs.html | |
| dc.identifier | https://arxiv.org/abs/math/0311459 | |
| dc.identifier | http://arxiv.org/abs/math/0311459 | |
| dc.identifier | Geom. Topol. 8(2004) 277-293 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69350 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Geometric Topology | |
| dc.subject | 53C15, 57M50 | |
| dc.title | A few remarks about symplectic filling | |
| dc.type | text |