%0 Journal Article
%T Extension of geodesic algebras to continuous genus
%A L. Chekhov
%A J. E. Nelson
%A T. Regge
%J Mathematics
%D 2005
%I arXiv
%R 10.1007/s11005-006-0112-4
%X Using the Penner--Fock parameterization for Teichmuller spaces of Riemann surfaces with holes, we construct the string-like free-field representation of the Poisson and quantum algebras of geodesic functions in the continuous-genus limit. The mapping class group acts naturally in the obtained representation.
%U http://arxiv.org/abs/gr-qc/0510119v1