Chern-Simons theory on a lattice and a new description of 3-manifolds invariants
| dc.creator | Buffenoir, E. | |
| dc.date | 1995-09-19 | |
| dc.date.accessioned | 2026-07-07T09:16:40Z | |
| dc.date.available | 2026-07-07T09:16:40Z | |
| dc.description | A new approach to the quantization of Chern-Simons theory has been developed in recent papers of the author. It uses a "simulation" of the moduli space of flat connections modulo the gauge group which reveals to be related to a lattice gauge theory based on a quantum group. After a generalization of the formalism of q-deformed gauge theory to the case of root of unity, we compute explicitely the correlation functions associated to Wilson loops (and more generally to graphs) on a surface with punctures, which are the interesting quantity in the study of moduli space. We then give a new description of Chern-Simons three manifolds invariants based on a description in terms of the mapping class group of a surface. At last we introduce a three dimensional lattice gauge theory based on a quantum group which is a lattice regularization of Chern-Simons theory. | |
| dc.description | 45 pages in Latex (figures are in an auxilliary compressed file) | |
| dc.identifier | https://arxiv.org/abs/q-alg/9509020 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9509020 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153435 | |
| dc.subject | Quantum Algebra | |
| dc.title | Chern-Simons theory on a lattice and a new description of 3-manifolds invariants | |
| dc.type | text |