Orthospectra of geodesic laminations and dilogarithm identities on moduli space

Bridgeman, Martin

doi:10.2140/gt.2011.15.707

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Orthospectra of geodesic laminations and dilogarithm identities on moduli space

Martin Bridgeman

Geometry & Topology 15 (2011) 707–733

DOI: 10.2140/gt.2011.15.707

Abstract

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

Keywords

orthospectrum

Mathematical Subject Classification 2000

Primary: 32G15

Secondary: 11M36

References

Publication

Received: 27 December 2010

Accepted: 14 February 2011

Published: 11 May 2011

Proposed: Benson Farb

Seconded: Danny Calegari, David Gabai

Authors

Martin Bridgeman
Department of Mathematics, Boston College, Chestnut Hill, Ma 02167
http://www2.bc.edu/martin-bridgeman/

Volume 15, issue 2 (2011)