2003/11/30 by Yakov Eliashberg
Mathematics · #math.SG #math.GT #msc:53C15 #msc:57M50
published as Geom. Topol. 8(2004) 277-293 · Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol8/paper6.abs.html
arxiv created 2004/02/27 · arxiv updated 2009/12/01
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.