Topology Atlas | Conferences

Knots in Washington XXX; Categorification, Quantum knots and Quantum computing
May 19-21, 2010
George Washington University
Washington, DC, USA

Organizers
Valentina Harizanov (GWU), Jozef H. Przytycki (GWU, UTD), Yongwu Rong (GWU, NSF), Radmila Sazdanovic (MSRI), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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Orthogonal Quantum Group Invariants of Links
by
Qingtao Chen
University of Southern California
Coauthors: Lin Chen

The colored HOMFLY polynomial is a quantum invariant of oriented links in S associated with a collection of irreducible representations of each quantum group Uq(slN) for each component of the link. We will discuss in detail how to construct these polynomials and their general structure. Then we will discuss the new progress, Labastida-Marino-Ooguri-Vafa conjecture. The LMOV conjecture also gives the application of Lichorish-Millet type formula for links. The corresponding theory of colored Kauffman polynomial and orthogonal LMOV conjecture could also be developed in a similar fashion by using more complicated algebra structures. We prove several cases of this new conjecture. This is a joint work with Lin Chen.

Date received: May 12, 2010

Copyright © 2010 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 # cbaf-17.