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Computing cobordism maps in link Floer homology and the reduced Khovanov TQFT

Abstract:

We study the maps induced on link Floer homology by elementary decorated link cobordisms. We compute these for births, deaths, stabilizations, and destabilizations, and show that saddle cobordisms can be computed in terms of maps in a decorated skein exact triangle that extends the oriented skein exact triangle in knot Floer homology. In particular, we completely determine the Alexander and Maslov grading shifts. As a corollary, we compute the maps induced by elementary cobordisms between un...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted manuscript

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Publisher copy:
10.1007/s00029-017-0368-9

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Institution:
University of Oxford
Department:
Mathematical Institute
Oxford college:
Keble College
Marengon, M More by this author
Publisher:
Springer Publisher's website
Journal:
Selecta Mathematica (New Series) Journal website
Volume:
24
Issue:
2
Pages:
1315–1390
Publication date:
2017-11-21
Acceptance date:
2017-10-24
DOI:
EISSN:
1420-9020
ISSN:
1022-1824
Pubs id:
pubs:738356
URN:
uri:4f1f2555-7995-4c57-8e20-b7cb0ac2f200
UUID:
uuid:4f1f2555-7995-4c57-8e20-b7cb0ac2f200
Local pid:
pubs:738356

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