A dilogarithm identity on moduli spaces of curves

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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.

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Luo, F., & Tan, S. P. (2014). A dilogarithm identity on moduli spaces of curves. Journal of Differential Geometry, 97(2), 255–274. https://doi.org/10.4310/jdg/1405447806

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