2005/10/28 by L. Chekhov, J. E. Nelson, T. Regge
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #gr-qc #hep-th #math-ph #math.MP
paper · pdf · doi:10.1007/s11005-006-0112-4
published as Lett.Math.Phys. 78 (2006) 17-26 · 16 pages, submitted to Lett.Math.Phys
arxiv created 2005/10/28 · openalex publication_date 2006/09/27 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.