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Petersburg Department of Steklov Institute of Mathematics

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PREPRINT 24/1998

R.M. Kashaev
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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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