Topology Atlas | Conferences

Knots in Washington XVII, Conference on Knot Theory and its Ramifications
December 19-21, 2003
GWU
Washington, DC, USA

Organizers
Marta M.Asaeda (U.Iowa), Mietek K.Dabkowski (UTD), Jozef H.Przytycki(GWU), Yongwu Rong (GWU)

Conference Homepage


Quantum Invariants of knots and links
by
Adam S. Sikora
SUNY Buffalo and IAS

We will provide an introduction to quantum invariants of knots - a topic which has been in the center of mathematical research for the last 20 years. We will describe the construction of quantum invariants using representation theory of quantum groups. (No prior knowledge of quantum groups is assumed). Finally, we will discuss an elementary (skein) approach to the SU_n-quantum invariants due to Kauffman and Kuperberg for n=2 and 3, and our generalization of their work for all n.

Date received: November 12, 2003

Copyright © 2003 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 # camw-05.