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A
refinement of Khovanov homology
Andrew Lobb and Liam Watson |
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Geometry & Topology 25 (2021) 1861–1917
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Abstract |
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We refine Khovanov homology in the presence of an involution on the link. This refinement takes the form of a triply graded theory, arising from a pair of filtrations. We focus primarily on strongly invertible knots and show, for instance, that this refinement is able to detect mutation. |
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Keywords
Khovanov, mutant, strongly invertible, knot theory
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Mathematical Subject Classification 2010
Primary: 57M25, 57M27, 57M60
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References |
Publication
Received: 16 September 2019
Revised: 20 January 2020
Accepted: 29 February 2020
Published: 12 July 2021
Proposed: Ciprian Manolescu
Seconded: Haynes R Miller, András I Stipsicz
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Authors |
| Andrew Lobb | |
| Department of Mathematical
Sciences Durham University Durham United Kingdom |
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| http://www.maths.dur.ac.uk/users/andrew.lobb/ | |
| Liam Watson | |
| Mathematics Department University of British Columbia Vancouver, BC Canada |
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| http://www.math.ubc.ca/~liam | |
