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A categorifcation for the Penrose polynomial
by
Kerry Luse
George Washington University
Coauthors: Yongwu Rong
Given a connected plane graph, we construct cohomology groups whose Euler characteristic is the Penrose polynomial of the corresponding medial graph, evaluated at an integer. This work is motivated by Khovanov's categorifcation of the Jones polynomial for knots, and the subsequent categorifcations by Helme-Guizon and Rong, and Jasso-Hernandez and Rong, of the chromatic and Tutte polynomials, respectively.
Date received: November 15, 2006
Copyright © 2006 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 # catp-15.