Algebraic & Geometric Topology

The homotopy theory of Khovanov homology

Brent Everitt and Paul Turner

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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.

Article information

Algebr. Geom. Topol., Volume 14, Number 5 (2014), 2747-2781.

Received: 2 July 2013
Revised: 5 December 2013
Accepted: 11 December 2013
First available in Project Euclid: 19 December 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 57M27: Invariants of knots and 3-manifolds
Secondary: 55P42: Stable homotopy theory, spectra

Khovanov homology homotopy limits higher inverse limits


Everitt, Brent; Turner, Paul. The homotopy theory of Khovanov homology. Algebr. Geom. Topol. 14 (2014), no. 5, 2747--2781. doi:10.2140/agt.2014.14.2747.

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