| Autor: |
Gelca, Razvan |
| Rok vydání: |
2008 |
| Předmět: |
|
| Zdroj: |
Journal of Geometry and Physics, 56 (2006), 2163-2176 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1016/j.geomphys.2005.11.012 |
| Popis: |
In this paper we describe progress made toward the construction of the Witten-Reshetikhin-Turaev theory of knot invariants from the geometric point of view. This is done in the perspective of a joint result of the author with A. Uribe which relates the quantum group and the Weyl quantizations of the moduli space of flat SU(2)-connections on the tours. Two results are emphasized: the reconstruction from Weyl quantization of the restriction to the torus of the modular functor, and a description of a basis of the space of quantum observables on the torus in terms of colored curves, which answers a question related to quantum computing. |
| Databáze: |
arXiv |
| Externí odkaz: |
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