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A remark on Khovanov
homology and two-fold branched covers
Liam Watson |
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Vol. 245 (2010), No. 2, 373–380
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Abstract |
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We give examples of knots distinguished by the total rank of their Khovanov homology but sharing the same two-fold branched cover. Hence Khovanov homology does not yield an invariant of two-fold branched covers. |
Keywords
Khovanov homology, two-fold branched cover, Heegaard Floer
homology
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Mathematical Subject Classification 2000
Primary: 57M12, 57M27
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Milestones
Received: 9 September 2009
Revised: 20 October 2009
Accepted: 26 October 2009
Published: 1 April 2010
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Authors |
| Liam Watson | |
| Department of Mathematics University of California 520 Portola Plaza Los Angeles, CA 90095 United States |
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| http://www.math.ucla.edu/~lwatson | |
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