The conformal geometry of Random Regge Triangulations
M. Carfora, C. Dappiaggi, A. Marzuoli
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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