Geodesic
Observables in $2+1$ Gravity and Noncommutative Teichmüller Spaces
Teoretičeskaâ i matematičeskaâ fizika, Tome 129 (2001) no. 2, pp. 360-368 
L. O. Chekhov. Observables in $2+1$ Gravity and Noncommutative Teichmüller Spaces. Teoretičeskaâ i matematičeskaâ fizika, Tome 129 (2001) no. 2, pp. 360-368. http://geodesic.mathdoc.fr/item/TMF_2001_129_2_a14/
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     title = {Observables in $2+1$ {Gravity} and {Noncommutative} {Teichm\"uller} {Spaces}},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The algebra of quantum geodesics obtained by quantizing the coordinates of the Teichmüller spaces is the Nelson–Regge quantum $so_q(m)$ algebra of monodromies (Wilson loops) in the Chern–Simons theory, which provides an effective description of $(2+1)$-dimensional gravity.

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