|
Organizers |
Realizing Khovanov Homology as Homology of a Small Category with Functor Coefficients
by
Jing Wang
George Washington University
Coauthors: Jozef H. Przytycki
In this talk, I will introduce our joint work with Jozef H. Przytycki about how to realize Khovanov homology in the context of homology of a small category with functor coefficients. Our general definition is motivated by homology of an abstract simplicial complex. In particular, I will show that for an abstract simplicial complex category, the theory we introduced here can be considered as homology of its barycentric subdivision. I will give a short proof showing that in the twisted coefficient case, homology is preserved under barycentric subdivision as in the classical theory.
Date received: April 29, 2013
Copyright © 2013 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbhe-13.