Extension of geodesic algebras to continuous genus

Details Extension of geodesic algebras to continuous genus Extension of geodesic algebras to continuous genus

2005-10-28

arxiv.org/abs/gr-qc/0510119v1

Lett.Math.Phys. 78 (2006) 17-26

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, submitted to Lett.Math.Phys

Scientific paper

10.1007/s11005-006-0112-4

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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