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The conformal geometry of Random Regge Triangulations

M. Carfora·C. Dappiaggi·A. Marzuoli
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Abstract

We review some of our recent work on the conformal geometry corresponding to the triangulated surfaces used in 2-dimensional simplicial quantum gravity. In particular, we discuss the regularized Liouville action associated with random Regge triangulations and its connection with Hodge-Deligne theory.

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M. Carfora, C. Dappiaggi, A. Marzuoli. 2003-10-07. The conformal geometry of Random Regge Triangulations. https://arxiv.org/abs/gr-qc/0310039

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