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The homotopy theory of
Khovanov homology
Brent Everitt and Paul Turner |
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Algebraic & Geometric Topology 14 (2014) 2747–2781
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Abstract |
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We show that the unnormalised Khovanov homology of an oriented link can be identified with the derived functors of the inverse limit. This leads to a homotopy theoretic interpretation of Khovanov homology. |
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Keywords
Khovanov homology, homotopy limits, higher inverse limits
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Mathematical Subject Classification 2010
Primary: 57M27
Secondary: 55P42
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References |
Publication
Received: 2 July 2013
Revised: 5 December 2013
Accepted: 11 December 2013
Published: 5 November 2014
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Authors |
| Brent Everitt | |
| Department of Mathematics University of York York YO10 5DD UK |
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| Paul Turner | |
| Section de Mathématiques Université de Genève 2–4 rue du Lièvre CH-1211 Geneva Switzerland |
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