Extension of geodesic algebras to continuous genus
arXiv:gr-qc/0510119 · doi:10.1007/s11005-006-0112-4
Abstract
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.
16 pages, submitted to Lett.Math.Phys