McShane's identity
Encyclopedia
In geometric topology
, McShane's identity for a once punctured torus
with a complete, finite volume hyperbolic structure is given by
The sum is over all simple closed geodesics γ on the torus; here l(γ) denotes the hyperbolic length of γ.
Geometric topology
In mathematics, geometric topology is the study of manifolds and maps between them, particularly embeddings of one manifold into another.- Topics :...
, McShane's identity for a once punctured torus
Torus
In geometry, a torus is a surface of revolution generated by revolving a circle in three dimensional space about an axis coplanar with the circle...
with a complete, finite volume hyperbolic structure is given byThe sum is over all simple closed geodesics γ on the torus; here l(γ) denotes the hyperbolic length of γ.