Contact handles, duality, and sutured Floer homology

Juhász, András¹ ; Zemke, Ian²

¹ Mathematical Institute, University of Oxford, Oxford, United Kingdom
² Department of Mathematics, Princeton University, Princeton, NJ, United States

Geometry & topology, Tome 24 (2020) no. 1, pp. 179-307.

Résumé

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.

Détail

DOI : 10.2140/gt.2020.24.179

Classification : 57R58, 57M27, 57R17
Keywords: Heegaard Floer homology, cobordism, TQFT

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