Volume 15, issue 2 (2011)

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Orthospectra of geodesic laminations and dilogarithm identities on moduli space

Martin Bridgeman

Geometry & Topology 15 (2011) 707–733
Abstract

Given a measured lamination $\lambda$ on a finite area hyperbolic surface we consider a natural measure ${M}_{\lambda }$ on 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 ${M}_{\lambda }$ gives summation identities for the Rogers dilogarithm function on the moduli space of a surface.

orthospectrum
Primary: 32G15
Secondary: 11M36