Topology Atlas | Conferences

Knots in Washington XXX; Categorification, Quantum knots and Quantum computing
May 19-21, 2010
George Washington University
Washington, DC, USA

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

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

The Kuperberg invariant and the Hennings invariant are both invariants of framed 3-manifolds constructed from Hopf algebras. It has been conjectured that the Kuperberg invariant associated to a Hopf algebra H is equal or closely related to the Hennings invariant constructed from D(H), the Drinfeld double of H. In this talk, we will first describe how to compute the lesser known Kuperberg invariant for non-involutory Hopf algebras. We will then discuss the well-studied Hennings invariant and describe the ways in which the two calculations are similar. Some preliminary results regarding the above conjecture will be given for Lens spaces and for specific Hopf algebras.

Date received: May 11, 2010

Copyright © 2010 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 # cbaf-16.