Topology Atlas | Conferences

Knots in Washington XLVI: 70th Birthday of Oleg Viro;
May 4-6, 2018
George Washington University,
Washington, DC, USA

Organizers
Valentina Harizanov (GWU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Radmila Sazdanovic (NCSU), Alexander Shumakovitch (GWU)

Conference Homepage


On the Kauffman bracket skein algebra of the thickened T-shirt
by
Rhea Palak Bakshi
The George Washington University
Coauthors: Sujoy Mukherjee, Józef Przytycki, Marithania Silvero, Xiao Wang

Skein modules were introduced by Józef Przytycki as a way to extend the knot polynomials of the 1980’s to arbitrary 3-manifolds. In 1997, Charles Frohman and Razvan Gelca established a delightful product-to-sum formula for the multiplication of two curves in the Kauffman bracket skein algebra of the torus times an interval. We try to do the same for the case of the sphere with four holes times the interval (the thickened T-shirt) and present our results to this end. In particular we address the Witten positivity conjecture for the skein algebra of F0, 4. This is joint work with Sujoy Mukherjee, Józef Przytycki, Marithania Silvero and Xiao Wang.

Date received: April 30, 2018

Copyright © 2018 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 # cboy-39.