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Contact handles, duality, and sutured Floer homology

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.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.2140/gt.2020.24.179

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
Keble College
Role:
Author
ORCID:
0000-0003-3705-2288


Publisher:
Mathematical Sciences Publishers
Journal:
Geometry and Topology More from this journal
Volume:
24
Issue:
1
Pages:
179–307
Publication date:
2020-03-25
Acceptance date:
2019-05-20
DOI:
EISSN:
1364-0380
ISSN:
1465-3060


Language:
English
Keywords:
Pubs id:
pubs:999624
UUID:
uuid:7e992f19-aca6-4d25-aaf4-cd701c42d56e
Local pid:
pubs:999624
Source identifiers:
999624
Deposit date:
2019-05-20

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