Topology Atlas | Conferences

A quadruply-graded graph homology for the Bollobas-Riordan polynomial
by
Yongwu Rong
The George Washington University

Following M. Khovanov, there have been a number of homology theories for graphs which categorify various graph polynomials. They include

• Chromatic homologies (Helme-Guizon and Rong).

• Dichromatic homologies (Stosic).

• Chromatic homologies for ribbon graphs (Loebl and Moffatt).

• Tutte homologies (Jasso-Hernandez and Rong).

My apology for any possible omissions.

This talk focuses on the Bollobas-Riordan polynomial for ribbon graphs. This is a three variable polynomial which contains all the polynomials involved above. We construct a quadruply-graded homology theory which categories the Bollobas-Riordan polynomial.

Date received: December 8, 2005

Copyright © 2005 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 # carw-22.