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Lengths of geodesics on non-orientable hyperbolic surfaces
Authors:Paul Norbury
Institution:(1) Department of Mathematics and Statistics, University of Melbourne, Melbourne, 3010, Australia;(2) Boston University, 111 Cummington St, Boston, MA 02215, USA
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.
Keywords:Hyperbolic surface  Nonorientable  Geodesics  Moduli
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