Topology Atlas | Conferences

Knots in Washington XXVII; 3rd Japan-USA Workshop in Knot Theory
January 9-11, 2009
George Washington University
Washington, DC, USA

Organizers
Yoshiyuki Ohyama (TWCU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Alexander Shumakovitch (GWU), Kouki Taniyama (Waseda and GWU), Tatsuya Tsukamoto (Osaka IT), Hao Wu (GWU), Akira Yasuhara (Tokyo GU)

Conference Homepage


Colored Turaev-Viro invariants of twist knots
by
Yuya Koda
Tokyo Institute of Technology

In 2007, Barrett, Garcia-Islas and Martins defined a new series of invariants, colored Turaev-Viro invariants, of a pair (M, L), where M is a closed oriented 3-manifolds and L is an oriented link embedded in M. These invariants are defined as state-sums on a special polyhedron, restricting only to states such that certain regions have a certain pre-fixed color. In this talk, we briefly review the definition of these invariants. Then we construct special polyhedrons for twist knots using (1, 1)-decomposition of them, and we provide a formula for colored Turaev-Viro invariants of twist knots using these spines.

Date received: November 29, 2008

Copyright © 2008 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 # caxq-39.