The conformal geometry of Random Regge Triangulations

Details The conformal geometry of Random Regge Triangulations The conformal geometry of Random Regge Triangulations

2003-10-07

arxiv.org/abs/gr-qc/0310039v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

42 pages, 12 figures, published on "Advances in General Relativity and Cosmology" - Edited by Giorgio Ferrarese - Pitagora Edi

Scientific paper

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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