A few remarks about symplectic filling
2004; Mathematical Sciences Publishers; Volume: 8; Issue: 1 Linguagem: Inglês
10.2140/gt.2004.8.277
ISSN1465-3060
Autores Tópico(s)Advanced Operator Algebra Research
ResumoWe 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 ξ on ∂W which is weakly compatible with ω , i.e. the restriction ω| ξ does not vanish and the contact orientation of ∂W and its orientation as the boundary of the symplectic manifold W coincide.This result provides a useful tool for new applications by Ozsváth-Szabó of Seiberg-Witten Floer homology theories in three-dimensional topology and has helped complete the Kronheimer-Mrowka proof of Property P for knots.
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