R. M. Kashaev, “The pentagon equation and mapping-class groups of punctured surfaces”, TMF, 2000, Volume 123, Number 2,Pages <nobr>198

This article is cited in 2 papers

The pentagon equation and mapping-class groups of punctured surfaces

R. M. Kashaev^ab

^a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
^b University of Helsinki

Abstract: In the quantum Teichmüller theory, the mapping-class groups of punctured surfaces are represented projectively based on Penner coordinates. Algebraically, the representation is based on the pentagon equation together with pair of additional relations. Two more examples of solutions of these equations are connected with matrix (or operator) generalizations of the Rogers dilogarithm. The corresponding central charges are rational. It is possible that this system of equations admits many different solutions.

DOI: 10.4213/tmf598