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2004 On symplectic fillings
John B Etnyre
Algebr. Geom. Topol. 4(1): 73-80 (2004). DOI: 10.2140/agt.2004.4.73

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] 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].

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John B Etnyre. "On symplectic fillings." Algebr. Geom. Topol. 4 (1) 73 - 80, 2004. https://doi.org/10.2140/agt.2004.4.73

Information

Received: 7 January 2004; Accepted: 19 January 2004; Published: 2004
First available in Project Euclid: 21 December 2017

zbMATH: 1078.53074
MathSciNet: MR2023278
Digital Object Identifier: 10.2140/agt.2004.4.73

Subjects:
Primary: 53D05, 53D10
Secondary: 57M50

Rights: Copyright © 2004 Mathematical Sciences Publishers

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