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Length series on Teichmuller space

2004/03/02 by Greg McShane, McShane, Greg
Decision Sciences · Mathematics · #53A35 #53C65 #Advanced Topology and Set Theory #FOS: Mathematics #Fuzzy and Soft Set Theory #Geometric Topology (math.GT) #Geometric and Algebraic Topology #math.GT #msc:53A35 #msc:53C65

paper · pdf · doi:10.48550/arxiv.math/0403041

January 2004

arxiv created 2004/03/02 · openalex publication_date 2004/03/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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