Lengths of geodesics on non-orientable hyperbolic surfaces

Details Lengths of geodesics on non-orientable hyperbolic surfaces Lengths of geodesics on non-orientable hyperbolic surfaces

2006-12-05

arxiv.org/abs/math/0612128v2

Mathematics

Geometric Topology

23 pages; improved description of the moduli space

Scientific paper

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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