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KNOTS IN WASHINGTON XXI: Skein modules, Khovanov homology and Hochschild homology
December 9-11, 2005
George Washington University
Washington, DC, USA

Organizers
Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Alexander Shumakovitch (GWU)

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Hopf diagrams
by
Alexis Virelizier
University of California, Berkeley
Coauthors: Alain Bruguieres

I will describe a universal encoding of string links in terms of Hopf algebraic structures. For this, I will introduce the notion of Hopf diagrams. Computing a quantum invariant of a 3-manifold reduces then to the purely formal computation of the associated Hopf diagram, followed by the evaluation of this diagram in a given category.

Paper reference: arXiv:math.QA/0505119

Date received: November 17, 2005

Copyright © 2005 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # carw-04.