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Knots in Washington XXXVIII: 30 years of the Jones polynomial
May 9-11, 2014
George Washington University
Washington, DC, USA

Organizers
Mieczyslaw K. Dabkowski (UT Dallas), Valentina Harizanov (GWU), Jozef H. Przytycki (GWU and UMCP), Yongwu Rong (GWU), Radmila Sazdanovic (NCSU), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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Introduction to Khovanov type graph homology for non-commutative algebras
by
Jing Wang
George Washington University
Coauthors: Jozef H. Przytycki

Few years after Khovanov homology was introduced as the categorification of Jones polynomial for knots, its version for graphs was developed by Helme-Guizon and Rong, Later Przytycki observed the relation with Hochschild homology.

In this talk, I will introduce a more general definition of this Khovanov type graph homology for non-commutative algebras. In particular, we use the language of homology of a small category with functor coefficients and consider directed graphs with the idea of multi-paths proposed by Turner and Wagner.

Date received: May 7, 2014


Copyright © 2014 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 # cbjb-12.