Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1898948 | Journal of Geometry and Physics | 2006 | 14 Pages |
Abstract
In this paper we describe progress made toward the construction of the Witten–Reshetikhin–Turaev theory of knot invariants from a 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 torus. 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Răzvan Gelca,