Contact handles, duality, and sutured floer homology

András Juhász, Ian Zemke

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish (US)
Pages (from-to)179-307
Number of pages129
JournalGeometry and Topology
Volume24
Issue number1
DOIs
StatePublished - 2020

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

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