Topology Atlas | Conferences

Knots in Washington XXVI Interconnections between Khovanov, Khovanov-Rozansky and Ozvath-Szabo homology, categorification of skein modules
April 18-20, 2008
George Washington University
Washington, DC, USA

Organizers
Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Alexander Shumakovitch (GWU), Hao Wu (GWU)

Conference Homepage


Trivalent Graphs and the HOMFLYPT Polynomial
by
Annie Meyers
Graduate Student, University of Iowa
Coauthors: Charlie Frohman (advisor, University of Iowa)

I am currently working with Charlie Frohman, focusing on various state-sum formulas for the HOMFLYPT polynomial. The two I have been working with the most are a setup using 4-valent graphs by Jaeger and Kauffmann, and a setup using trivalent graphs by Murakami, Ohtsuki, Yamada, and expanded further by Rasmussen. My hope is to take my understanding of the HOMFLYPT and these state-sum formulas and apply it to working with foams and link homologies. I am currently in preparation for my comprehensive exam, focusing on the Jaeger/Kauffmann and MOY/Rasmussen ideas, and plan to continue research in this vein after finishing the exam.

Date received: March 27, 2008

Copyright © 2008 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 # cawt-17.