Topology Atlas | Conferences

Knots in Washington XXVIII; Follow up to Workshop on Knots and Quantum Computing (December, 2007 at UT Dallas)
February 27 - March 1, 2009
George Washington University
Washington, DC, USA

Organizers
Mieczyslaw K. Dabkowski (UTD), Jozef H. Przytycki (GWU), Vish Ramakrishna (UTD), Yongwu Rong (GWU), Alexander Shumakovitch (GWU), Kouki Taniyama (Waseda and GWU), Hao Wu (GWU)

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Domination of knots and the Jones polynomial
by
Jozef H. Przytycki
George Washington University
Coauthors: Kouki Taniyama (Waseda and GWU)

We analyze the minimal degree of the Jones polynomial, degminVL(t), for links which have diagrams with a small number of negative crossings. In particular for a non-split nontrivial almost positive link link we show that degminVL(t) ≥ 1/2. This work is almost 19 years old but it is of new interest now due to the relation with Khovanov homology. We will describe the history of the problem (from 1987 for Przytycki, 1988 for Taniyama, and cooperation from 1990).

Date received: February 26, 2009

Copyright © 2009 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 # cayk-17.