Volume 14, issue 5 (2014)

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ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
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The homotopy theory of Khovanov homology

Brent Everitt and Paul Turner

Algebraic & Geometric Topology 14 (2014) 2747–2781

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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Khovanov homology, homotopy limits, higher inverse limits
Mathematical Subject Classification 2010
Primary: 57M27
Secondary: 55P42
Received: 2 July 2013
Revised: 5 December 2013
Accepted: 11 December 2013
Published: 5 November 2014
Brent Everitt
Department of Mathematics
University of York
York YO10 5DD
Paul Turner
Section de Mathématiques
Université de Genève
2–4 rue du Lièvre
CH-1211 Geneva