|
Organizers |
On non-additive versions of the Kauffman-Radford reformulation of the Hennings invariant (KRH invariant.)
by
Fernando J. O. Souza
Department of Mathematics - University of Iowa
Coauthors: Part of the materials in this talk were obtained in collaboration with Louis Kauffman and David Radford.
The Kauffman-Radford reformulation of the Hennings invariant (KRH invariant) of orientable, closed 3-manifolds is defined via surgery instructions in terms of formal sums involving diagrams and Hopf-algebra objects. We will discuss variations of that definition, retaining the use of diagrammatic Hopf-algebra objects, but not the assumption that the underlying category is additive. The author and co-authors have used these versions of the KRH invariant to investigate its relationship with other invariants.
Date received: February 10, 2005
Copyright © 2005 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 # capo-32.