Petersburg Department of Steklov Institute of Mathematics

PREPRINT 24/1998


R.M. Kashaev

LIOUVILLE CENTRAL CHARGE IN QUANTUM TEICHM\"ULLER THEORY

This preprint was accepted November, 1998
Contact: R.M. Kashaev

ABSTRACT: 
 
In the quantum Teichm\"uller theory, based
on Penner coordinates, the mapping class groups of punctured surfaces
are represented projectively. The case of a genus three surface with
one puncture is worked out explicitly. The projective factor
is calculated. It is given by the exponential of the Liouville central
charge.




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