Topology Atlas | Conferences

KNOTS in WASHINGTON XV (2nd Japan-USA Workshop in Knot Theory)
January 10-15, 2003
George Washington University and Johns Hopkins University
Washington, DC and Baltimore, MD, USA

Organizers
Kazuaki Kobayashi, Jozef H. Przytycki, Yongwu Rong, Shin-ichi Suzuki, Kouki Taniyama, Tatsuya Tsukamoto, Akira Yasuhara

Conference Homepage


Representations of Tangle Categories and the Bracket Polynomial
by
John Armstrong
Yale University

In this talk, representations of categories of framed unoriented tangles which factor through Temperley-Lieb categories are described. These functors have the property that their restrictions to (0,0)-tangles (knots and links) are Bracket Polynomial evaluations. In particular, the "unitary" representations are calculated explicitly.

Date received: December 18, 2002

Copyright © 2002 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 # cajr-20.