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...
Main Author: | McShane, Greg |
---|---|
Published: |
University of Warwick
1991
|
Subjects: | |
Online Access: | http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.333945 |
Similar Items
-
Group actions on differentials of curves and cohomology bases of hyperelliptic curves
by: Tait, Joseph
Published: (2014) -
The influence of nilpotent subgroups on the nilpotent length and derived length of a finite group
by: Jones, Graham Robert
Published: (1983) -
Explicit isogenies of elliptic curves
by: Tsukazaki, Kiminori
Published: (2013) -
Effective geometry of curve graphs
by: Webb, Richard Charles Henry
Published: (2014) -
Crinkly curves, Markov partitions and dimension
by: Bedford, T.
Published: (1984)