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Filtering the Heegaard
Floer contact invariant
Çağatay Kutluhan, Gordana Matić, Jeremy Van Horn-Morris and Andy Wand |
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Geometry & Topology 27 (2023) 2181–2236
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Abstract |
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We define an invariant of contact structures in dimension three from Heegaard Floer homology. This invariant takes values in the set . It is zero for overtwisted contact structures, for Stein-fillable contact structures, nondecreasing under Legendrian surgery, and computable from any supporting open book decomposition. As an application, we give an easily computable obstruction to Stein-fillability on closed contact –manifolds with nonvanishing Ozsváth–Szabó contact class. |
Keywords
Heegaard Floer homology, contact structure
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Mathematical Subject Classification 2010
Primary: 57R17
Secondary: 57R58
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References |
Publication
Received: 18 February 2020
Revised: 21 January 2022
Accepted: 13 March 2022
Published: 25 August 2023
Proposed: András I Stipsicz
Seconded: Ciprian Manolescu, Peter Ozsváth
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Authors |
| Çağatay Kutluhan | |
| Department of Mathematics University at Buffalo Buffalo, NY United States |
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| Gordana Matić | |
| Department of Mathematics University of Georgia Athens, GA United States |
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| Jeremy Van Horn-Morris | |
| Department of Mathematics University of Arkansas Fayetteville, AR United States |
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| Andy Wand | |
| School of Mathematics and
Statistics University of Glasgow Glasgow United Kingdom |
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| © 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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