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Invariants of
$4$–manifolds from Khovanov–Rozansky link homology
Scott Morrison, Kevin Walker and Paul Wedrich |
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Geometry & Topology 26 (2022) 3367–3420
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DOI: 10.2140/gt.2022.26.3367
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Abstract |
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We use Khovanov–Rozansky link homology to define invariants of oriented smooth –manifolds, as skein modules constructed from certain –categories with well-behaved duals. The technical heart of this construction is a proof of the sweep-around property, which makes these link homologies well defined in the –sphere. |
Keywords
TQFT, link homology, Khovanov homology, 4-manifolds, blob
homology
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Mathematical Subject Classification
Primary: 57K18, 57R56
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References |
Publication
Received: 9 June 2020
Revised: 17 May 2021
Accepted: 26 June 2021
Published: 16 March 2023
Proposed: Ciprian Manolescu
Seconded: Stavros Garoufalidis, David Gabai
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Authors |
| Scott Morrison | |
| Lyneham ACT Australia |
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| https://tqft.net | |
| Kevin Walker | |
| Microsoft Station Q Santa Barbara, CA United States |
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| http://canyon23.net/math/ | |
| Paul Wedrich | |
| Mathematical Sciences
Institute The Australian National University Canberra ACT Australia |
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| http://paul.wedrich.at | |
