Extension of geodesic algebras to continuous genus
classification
🌀 gr-qc
hep-thmath-phmath.MP
keywords
algebrasgeodesicrepresentationactsclassconstructcontinuouscontinuous-genus
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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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