V. V. Fock, L. O. Chekhov, “A quantum Teichmüller space”, TMF, 1999, Volume 120, Number 3,Pages <nobr>511

This article is cited in 161 papers

A quantum Teichmüller space

V. V. Fock^a, L. O. Chekhov^b

^a Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)
^b Steklov Mathematical Institute, Russian Academy of Sciences

Abstract: We 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.

Received: 24.05.1999

DOI: 10.4213/tmf793