Abstract
Our goal here is to present an approach connecting the anomalous scaling properties of 2D simplicial quantum gravity to the geometry of the moduli space \({\overline M _g}{,_{{N_0}}}\), N 0 of genus g Riemann surfaces with N 0 punctures. In the case of pure gravity we prove that the scaling properties of the set of dynamical triangulations with N 0 vertices are directly provided by the large N 0 asymptotics of the Weil-Peters son volume of \({\overline M _g}{,_{{N_0}}}\), N 0, recently discussed by Manin and Zograf.
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Carfora, M., Marzuoli, A., Villani, P. (2002). 2D Dynamical Triangulations and the Weil-Petersson Measure. In: Cianci, R., Collina, R., Francaviglia, M., Fré, P. (eds) Recent Developments in General Relativity, Genoa 2000. Springer, Milano. https://doi.org/10.1007/978-88-470-2101-3_5
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DOI: https://doi.org/10.1007/978-88-470-2101-3_5
Publisher Name: Springer, Milano
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