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# Representation theory, topological field theory, and...

Representation theory, topological field theory, and the Andrews-Curtis conjecture[9]
Frank Quinn
Title: Representation theory, topological field theory, and the
Andrews-Curtis conjecture

Author: Frank Quinn
Categories: (QA Quantum Algebra; GR Group Theory)
ADMIN NOTE: source file was garbled, partially salvaged 19Feb2001

Abstract: We pose a representation-theoretic question motivated by
an attempt to resolve the Andrews-Curtis conjecture. Roughly, is
there a triangular Hopf algebra with a collection of self-dual
irreducible representations $V_i$ so that the product of any two
decomposes as a sum of copies of the $V_i$, and $\sum (\rank V_i)^2=0$? This data can be used to construct a topological
quantum field theory' on 2-complexes which stands a good chance of
detecting counterexamples to the conjecture.

From: Frank Quinn <quinn@math.vt.edu>
Date: Thu, 13 Feb 1992 14:42 EDT (7kb)
Revised: Fri, 14 Feb 1992 14:32 EDT

BibTeX

@misc{hep-th/9202044,
title = {{Representation theory, topological field theory, and the
Andrews-Curtis conjecture}},
author = {Frank Quinn},
eprint = {arXiv:hep-th/9202044}}
`

root 2004-05-05