Almost integral TQFTs from simple Lie algebras

Chen, Qi; Le, Thang T Q

doi:10.2140/agt.2005.5.1291

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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

DOI: 10.2140/agt.2005.5.1291

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

Volume 5, issue 4 (2005)