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
Everitt, Brent  1 ; Turner, Paul  2
@article{10_2140_agt_2014_14_2747,
author = {Everitt, Brent and Turner, Paul},
title = {The homotopy theory of {Khovanov} homology},
journal = {Algebraic and Geometric Topology},
pages = {2747--2781},
year = {2014},
volume = {14},
number = {5},
doi = {10.2140/agt.2014.14.2747},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2014.14.2747/}
}
TY - JOUR AU - Everitt, Brent AU - Turner, Paul TI - The homotopy theory of Khovanov homology JO - Algebraic and Geometric Topology PY - 2014 SP - 2747 EP - 2781 VL - 14 IS - 5 UR - http://geodesic.mathdoc.fr/articles/10.2140/agt.2014.14.2747/ DO - 10.2140/agt.2014.14.2747 ID - 10_2140_agt_2014_14_2747 ER -
Everitt, Brent; Turner, Paul. The homotopy theory of Khovanov homology. Algebraic and Geometric Topology, Tome 14 (2014) no. 5, pp. 2747-2781. doi: 10.2140/agt.2014.14.2747
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