Length series on Teichmuller space

Greg McShane

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Length series on Teichmuller space

Greg McShane

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Abstract

We prove that a certain series defines a constant function using Wolpert's formula for the variation of the length of a geodesic along a Fenchel Nielsen twist. Subsequently we determine the value viewing it as function on the the Deligne Mumford compactification and evaluating it at the stable curve at infinity.

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BibTeX RIS

Greg McShane. 2004-03-02. Length series on Teichmuller space. https://arxiv.org/abs/math/0403041

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