English

The conformal geometry of Random Regge Triangulations

General Relativity and Quantum Cosmology 2007-05-23 v1 High Energy Physics - Theory Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.gr-qc/0310039,
  title  = {The conformal geometry of Random Regge Triangulations},
  author = {M. Carfora and C. Dappiaggi and A. Marzuoli},
  journal= {arXiv preprint arXiv:gr-qc/0310039},
  year   = {2007}
}

Comments

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