Length series on Teichmuller space
Résumé
We prove that a certain series defines a constant function usingWolpert's formula for the variation of the length of a geodesicalong a Fenchel Nielsen twist. Subsequently we determine the value viewing it as function on the the Deligne Mumford compactificationand evaluating it at the stable curve at infinity.
Domaines
Topologie géométrique [math.GT]
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