A dilogarithm identity on moduli spaces of curves
Geometric Topology
2011-04-29 v2 Algebraic Geometry
Complex Variables
Abstract
We establish an identity for closed hyperbolic surfaces whose terms depend on the dilogarithms of the lengths of simple closed geodesics in all 3-holed spheres and 1-holed tori in the surface.
Cite
@article{arxiv.1102.2133,
title = {A dilogarithm identity on moduli spaces of curves},
author = {Feng Luo and Ser-Peow Tan},
journal= {arXiv preprint arXiv:1102.2133},
year = {2011}
}
Comments
revised version. We simplified some of the arguments in the preliminary version