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The homotopy theory of Khovanov homology

Brent Everitt and Paul Turner
Algebraic & Geometric Topology 14 (2014) 2747–2781
DOI: 10.2140/agt.2014.14.2747
Abstract

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.

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