The homotopy theory of Khovanov homology

Brent Everitt; Paul Turner

doi:10.2140/agt.2014.14.2747

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Home > Journals > Algebr. Geom. Topol. > Volume 14 > Issue 5 > Article

2014 The homotopy theory of Khovanov homology

Brent Everitt, Paul Turner

Algebr. Geom. Topol. 14(5): 2747-2781 (2014). DOI: 10.2140/agt.2014.14.2747

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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.

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Brent Everitt. Paul Turner. "The homotopy theory of Khovanov homology." Algebr. Geom. Topol. 14 (5) 2747 - 2781, 2014. https://doi.org/10.2140/agt.2014.14.2747