Lengths of geodesics on non-orientable hyperbolic surfaces
arXiv:math/0612128
Abstract
We give an identity involving sums of functions of lengths of simple closed geodesics, known as a McShane identity, on any non-orientable hyperbolic surface with boundary which generalises Mirzakhani's identities on orientable hyperbolic surfaces with boundary.
23 pages; improved description of the moduli space