Length series on Teichmuller space

Details Length series on Teichmuller space Length series on Teichmuller space

2004-03-02

arxiv.org/abs/math/0403041v1

Mathematics

Geometric Topology

January 2004

Scientific paper

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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