%0 Journal Article %T Liouville central charge in quantum Teichmuller theory %A R. M. Kashaev %J Physics %D 1998 %I arXiv %X In the quantum Teichmuller 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. %U http://arxiv.org/abs/hep-th/9811203v1