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arXiv 2005-10-28 DOI 10.1007/s11005-006-0112-4 0 views

Extension of geodesic algebras to continuous genus

Chekhov, L. · Nelson, J. E. · Regge, T.

Original · EN

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.

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