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Cobordisms of sutured manifolds and the functoriality of link Floer homology

Abstract:

It has been a central open problem in Heegaard Floer theory whether cobordisms of links induce homomorphisms on the associated link Floer homology groups. We provide an affirmative answer by introducing a natural notion of cobordism between sutured manifolds, and showing that such a cobordism induces a map on sutured Floer homology. This map is a common generalization of the hat version of the closed 3-manifold cobordism map in Heegaard Floer theory, and the contact gluing map defined by Hond...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1016/j.aim.2016.06.005

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
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Name:
Royal Society
Grant:
Research Fellowship
Publisher:
Elsevier
Journal:
Advances in Mathematics More from this journal
Volume:
299
Pages:
940–1038
Publication date:
2016-01-01
Acceptance date:
2016-06-08
DOI:
EISSN:
1090-2082
ISSN:
0001-8708
Keywords:
Pubs id:
pubs:627178
UUID:
uuid:0703d878-43c1-4763-91f5-d0ba1b083b1f
Local pid:
pubs:627178
Source identifiers:
627178
Deposit date:
2016-06-10

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