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On symplectic fillings | | John B Etnyre
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3 Dec 2003 | | Journal: | Algebraic and Geometric Topology 4 (2004) 73-80 | | Subject: | Symplectic Geometry; Geometric Topology MSC-class: 53D05, 53D10, 57M50 | math.SG math.GT | | Abstract: | In this note we make several observations concerning symplectic fillings. In particular we show that a (strongly or weakly) semi-fillable contact structure is fillable and any filling embeds as a symplectic domain in a closed symplectic manifold. We also relate properties of the open book decomposition of a contact manifold to its possible fillings. These results are also useful in proving property P for knots [P Kronheimer and T Mrowka, Geometry and Topology, 8 (2004) 295-310, math.GT/0311489] and in showing the contact Heegaard Floer invariant of a fillable contact structure does not vanish [P Ozsvath and Z Szabo, Geometry and Topology, 8 (2004) 311-334, math.GT/0311496]. | | Source: | arXiv, math.SG/0312091 | | Services: | Forum | Review | PDF | Favorites | |
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