The conformal geometry of Random Regge Triangulations
arXiv:gr-qc/0310039
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.
42 pages, 12 figures, published on "Advances in General Relativity and Cosmology" - Edited by Giorgio Ferrarese - Pitagora Editrice