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Knots in Washington XXXII, Categorification of Knots, Algebras, and Quandles; Quantum Computing
April 29 - May 1, 2011
George Washington University
Washington, DC, USA

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

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Representations of the Kauffman bracket skein algebra of the punctured torus
by
Razvan Gelca
Texas Tech University
Coauthors: Jea-Pil Cho

We examine a family of representations of the Kauffman bracket skein algebra of the punctured torus on skein modules of the solid torus with marked points on the boundary. We show how the Reshetikhin-Turaev representation of the mapping class group of the punctured torus can be computed using these representations.

Date received: April 14, 2011


Copyright © 2011 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 # cbcc-12.