Lengths of geodesics on non-orientable hyperbolic surfaces

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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

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Geometric Topology, Differential Geometry, 32G15; 58D27; 30F60

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http://salesiana.dossiersoluciones.com/handle/123456789/130179

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0612128
 http://arxiv.org/abs/math/0612128

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arXiv