Leonid O. CHEKHOV, J. NELSON and T REGGE
Department of Theoretical Physics,
Steklov Mathematical Institute,
8, Gubkina str., 119991, Moscow, RUSSIA
E-mail: chekhov@mi.ras.ru

Continuous genus limit of quantum Teichmuller spaces

Abstract:
We find the free-field description of the continuous genus (or infinite-genus) limit of both classical and quantum geodesic algebras for Riemann surfaces with holes. Possible applications to physics are discussed.