Simple curves on surfaces

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dc.creatorRivin, Igor
dc.date1999-07-07
dc.date1999-07-27
dc.date.accessioned2026-07-07T05:29:49Z
dc.date.available2026-07-07T05:29:49Z
dc.descriptionWe show that the number of simple closed geodesics of length bounded by L on a hyperbolic surface of genus g with c cusps and b boundary components grows roughly like L^{6g+2b+2c-6}. This has been conjectured for some time.
dc.description16 pages, many figures
dc.identifierhttps://arxiv.org/abs/math/9907041
dc.identifierhttp://arxiv.org/abs/math/9907041
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78785
dc.subjectGeometric Topology
dc.subjectDifferential Geometry
dc.subjectGroup Theory
dc.subject57M50;34C25
dc.titleSimple curves on surfaces
dc.typetext

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