2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69350We 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.Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol8/paper6.abs.htmlSymplectic GeometryGeometric Topology53C15, 57M50text