Topology Atlas | Conferences

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)

Conference Homepage


Comparing Quantum Invariants of 3-Manifolds
by
Matt Sequin
The Ohio State University
Coauthors: Thomas Kerler (Advisor)

We will describe two quantum 3-manifold invariants: The Kuperberg Invariant and the Hennings Invariant. We will discuss a direct proof that if H is an involutory Hopf algebra, the Kuperberg Invariant applied to H is equal to the Hennings Invariant applied to D(H), the Drinfeld double of H. We will then briefly discuss the case when H is not involutory.

Date received: April 7, 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-07.