Topology Atlas | Conferences

Knots in Washington XXXI; Categorification, Quandles, Quantum knots and Quantum computing
December 3-5, 2010
George Washington University
Washington, DC, USA

Organizers
Valentina Harizanov (GWU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU, NSF), Radmila Sazdanovic (U.Penn), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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SO(3) Kauffman Homology of Graphs and Links
by
Matt Hogancamp
University of Virginia
Coauthors: Ben Cooper, Slava Krushkal

There is a well-known relationship between the SO(3) Kauffman polynomial for links, the chromatic polynomial for planar graphs, and the 2-colored Jones polynomial. In this talk I will describe a categorification of this relationship using a categorified Jones-Wenzl projector on two strands, living in Bar-Natan's category. Some elementary properties will be discussed, as well as future directions.

Date received: November 18, 2010

Copyright © 2010 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 # cbbr-16.