Department of Mathematics,
University of California San Diego

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Differential Geometry Seminar

Feng Luo
Rutgers University

A dilogarithm identity on moduli space of Riemann surfaces

Abstract:

Given any closed hyperbolic surface of a fixed genus, we
establish an identity involving dilogarithm of lengths of simple
closed geodesics in all embedded pairs of pants and one-holed tori in
the surface. One may consider this as a counterpart of McShane's
identity for closed hyperbolic surfaces. This is a joint work with Ser
Peow Tan.

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AP&M 5402

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