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The completeness of the involutory Kuperberg invariant
by
Fernando Souza
University of Iowa
The involutory Kuperberg invariant of oriented 3-manifolds, in its most general form (categorical, diagrammatic), is complete for oriented, closed 3-manifolds, providing an algebraicization of them as morphism of Hopf-algebra objects. After a review of the definition of the invariant, we discuss the reconstruction of 3-manifolds from any given value of the invariant, as well as the completeness of the invariant, revising the original approach.
Date received: May 27, 2004
Copyright © 2004 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 Mathematical Conference Abstracts. Document # canv-25.