Algebraic and Geometric Topology 5 (2005), paper no. 50, pages 1291-1314.

Almost integral TQFTs from simple Lie algebras

Qi Chen, Thang Le


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

AMS subject classification. Primary: 57M27, 57R56.

E-print: arXiv:math.QA/0408357

DOI: 10.2140/agt.2005.5.1291

Submitted: 26 September 2003. (Revised: 16 September 2005.) Accepted: 26 September 2005. Published: 6 October 2005.

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Qi Chen, Thang Le
Department of Mathematics, The Ohio State University
Columbus, OH 43210-1174, USA
and
School of Mathematics, Georgia Institute of Technology
Atlanta, GA 30332-0160, USA
Email: qichen@math.ohio-state.edu, letu@math.gatech.edu

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