Orthospectra of Geodesic Laminations and Dilogarithm Identities on Moduli Space

Details Orthospectra of Geodesic Laminations and Dilogarithm Identities on Moduli Space Orthospectra of Geodesic Laminations and Dilogarithm Identities on Moduli Space

2009-03-04

arxiv.org/abs/0903.0683v1

Mathematics

Geometric Topology

21 pages, 2 figures

Scientific paper

Given a measured lamination on a finite area hyperbolic surface we consider a natural measure Mon the real line obtained by taking the push-forward of the volume measure of the unit tangent bundle of the surface under an intersection function associated with the lamination. We show that the measure M gives summation identities for the Rogers dilogarithm function on the moduli space of a surface.

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