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