Topology Atlas | Conferences

KNOTS in WASHINGTON 10 Japan-USA; workshop in Knot Theory
January 23-30, 2000
George Washington University
Washington, DC, USA

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

Conference Homepage


SL(2, C) Representations of Tunnel Number One Knots, Examples
by
Debora M. Tejada
Universidad Nacional de Colombia - University of Texas at San Antonio
Coauthors: Hugh M. Hilden (University of Hawaii at Honolulo), Margarita M. Toro (Universidad Nacional de Colombia)

We prove that the knot group of a tunnel number one knot has presentation with two generators and a palindrome as relation. We also compute the SL(2, C) representations of groups that have this kind of presentation. We give some examples.

Date received: February 26, 2000

Copyright © 2000 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 # caea-29.