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arxiv: gr-qc/0310039 · v1 · submitted 2003-10-07 · 🌀 gr-qc · hep-th· math-ph· math.MP

The conformal geometry of Random Regge Triangulations

classification 🌀 gr-qc hep-thmath-phmath.MP
keywords conformalgeometryrandomreggetriangulationsactionassociatedconnection
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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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