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Contact handles, duality,
and sutured Floer homology
András Juhász and Ian Zemke |
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Geometry & Topology 24 (2020) 179–307
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Abstract |
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We give an explicit construction of the Honda–Kazez–Matić gluing maps in terms of contact handles. We use this to prove a duality result for turning a sutured manifold cobordism around and to compute the trace in the sutured Floer TQFT. We also show that the decorated link cobordism maps on the hat version of link Floer homology defined by the first author via sutured manifold cobordisms and by the second author via elementary cobordisms agree. |
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Keywords
Heegaard Floer homology, cobordism, TQFT
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Mathematical Subject Classification 2010
Primary: 57R58
Secondary: 57M27, 57R17
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References |
Publication
Received: 7 April 2018
Revised: 30 March 2019
Accepted: 20 May 2019
Published: 25 March 2020
Proposed: András I Stipsicz
Seconded: Ciprian Manolescu, Peter Ozsváth
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Authors |
| András Juhász | |
| Mathematical Institute University of Oxford Oxford United Kingdom |
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| Ian Zemke | |
| Department of Mathematics Princeton University Princeton, NJ United States |
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