Classical and quantum geometry of moduli spaces in three-dimensional gravity
Nelson, J. E. ; Picken, R. F.
arXiv, 0501051 / Harvested from arXiv
Text on arXiv
We describe some results concerning the phase space of 3-dimensional Einstein gravity when space is a torus and with negative cosmological constant. The approach uses the holonomy matrices of flat SL(2,R) connections on the torus to parametrise the geometry. After quantization, these matrices acquire non-commuting entries, in such a way that they satisfy q-commutation relations and exhibit interesting geometrical properties. In particular they lead to a quantization of the Goldman bracket.
Publié le : 2005-01-20
Classification:  Mathematical Physics,  83C45 
@article{0501051,
     author = {Nelson, J. E. and Picken, R. F.},
     title = {Classical and quantum geometry of moduli spaces in three-dimensional
  gravity},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0501051}
}

Nelson, J. E.; Picken, R. F. Classical and quantum geometry of moduli spaces in three-dimensional
  gravity. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0501051/