A quantum Teichmüller space. (English. Russian original) Zbl 0986.32007
Theor. Math. Phys. 120, No. 3, 1245-1259 (1999); translation from Teor. Mat. Fiz. 120, No. 3, 511-528 (1999).
The authors explicitly describe a noncommutative deformation of the *-algebra of functions on the Teichmüller space of Riemann surfaces with holes that is equivariant with respect to the action of the mapping class group.
Reviewer: Lixin Liu (Guangzhou)
MSC:
| 32G15 | Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) |
| 32G81 | Applications of deformations of analytic structures to the sciences |
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
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