594 research outputs found
Orthospectra of Geodesic Laminations and Dilogarithm Identities on Moduli Space
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.Comment: 21 pages, 2 figure
- …