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.
Relative shapes of thick subsets of moduli space
Connected components of the moduli spaces of Abelian differentials with prescribed singularities
Torelli groups, extended Johnson homomorphisms, and new cycles on the moduli space of curves
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