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Almost integral TQFTs from simple Lie algebras

Qi Chen and Thang T Q Le

Algebraic & Geometric Topology 5 (2005) 1291–1314

arXiv: math.QA/0408357

Abstract

Almost integral TQFTs were introduced by Gilmer [Duke Math. J. 125 (2004) 389–413]. The aim of this paper is to modify the TQFT of the category of extended 3–cobordisms given by Turaev (in his book: Quantum invariants of knots and 3–manifolds) to obtain an almost integral TQFT.

Keywords
TQFT, almost integral TQFT, simple Lie algebra
Mathematical Subject Classification 2000
Primary: 57M27, 57R56
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Publication
Received: 26 September 2003
Revised: 16 September 2005
Accepted: 26 September 2005
Published: 6 October 2005
Authors
Qi Chen
Department of Mathematics
The Ohio State University
Columbus OH 43210-1174
USA
Thang T Q Le
School of Mathematics
Georgia Institute of Technology
Atlanta GA 30332-0160
USA