Topology Atlas | Conferences

Knots in Washington XXIV; Dedicated to the memory of Xiao-Song Lin
April 13-15, 2007
George Washington University
Washington, DC, USA

Organizers
Jozef H. Przytycki (GWU and UMD), Yongwu Rong (GWU), Alexander Shumakovitch (GWU)

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Knots with identical Khovanov Homology, after Watson
by
Kerry Luse
GWU
Coauthors: Y. Rong

In a paper with Y. Rong, we showed that there is an infinite family of distinct knots with the same Jones polynomial. A recent result by L. Watson gives examples of knots with the same Khovanov homology. He uses the classification given in our paper to show that there is an infinite family of distinct knots with identical Khovanov homology. I will outline Watson's construction and the main ideas in his proof.

Date received: April 12, 2007

Copyright © 2007 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 # cauq-15.