McShane’s identity for classical Schottky groups
McShane’s identity for classical Schottky groups
In 1998, Greg McShane demonstrated a remarkable identity for the lengths of simple closed geodesics on cusped hyperbolic surfaces.In 2006, we generalized this to hyperbolic cone-surfaces, possibly with cusps and/or geodesic boundary.In this paper, we generalize the identity further to the case of classical Schottky groups.As a consequence, we obtain …