We describe one avenue to the explicit calculation of partition functions of knot complements in Chern-Simons theory with noncompact gauge group SL(2, C), following [1]. Our techniques involve geometric quantization of the moduli space of flat connections on the torus, combined with quantization of
โฆ LIBER โฆ
Quantum Invariants
โ Scribed by Arthur Jaffe
- Publisher
- Springer
- Year
- 2000
- Tongue
- English
- Weight
- 96 KB
- Volume
- 209
- Category
- Article
- ISSN
- 0010-3616
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We develop two topics in parallel and show their inter-relation. The first centers on the notion of a fractional-differentiable structure on a commutative or a non-commutative space. We call this study quantum harmonic analysis. The second concerns homotopy invariants for these spaces and is an aspe