Length series on Teichmuller space
classification
🧮 math.GT
keywords
functionlengthseriesalongcertaincompactificationconstantcurve
read the original 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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