Title: Representation theory, topological field theory, and the Andrews-Curtis conjecture Author: Frank Quinn Categories: (QA Quantum Algebra; GR Group Theory) Comments: 7 pages. 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