A remarkable identity for lengths of curves

In this thesis we will prove the following new identity Σγ 1/(1 + exp |γ|) = 1/2, where the sum is over all closed simple geodesics γ on a punctured torus with a complete hyperbolic structure, and |γ| is the length of γ. Although it is well known that there are relations between the lengths of simpl...

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Bibliographic Details
Main Author: McShane, Greg
Published: University of Warwick 1991
Subjects:
510
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.333945