A few remarks about symplectic filling

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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.
Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol8/paper6.abs.html

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Symplectic Geometry, Geometric Topology, 53C15, 57M50

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http://salesiana.dossiersoluciones.com/handle/123456789/69350

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0311459
 http://arxiv.org/abs/math/0311459
 Geom. Topol. 8(2004) 277-293

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arXiv