Immersions of Pants into a Fixed Hyperbolic Surface

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dc.creatorBowen, Lewis
dc.date2005-05-23
dc.date2005-08-02
dc.date.accessioned2026-07-07T05:20:11Z
dc.date.available2026-07-07T05:20:11Z
dc.descriptionExploiting a relationship between closed geodesics on a generic closed hyperbolic surface S and a certain unipotent flow on the product space T_1(S) x T_1(S), we obtain a local asymptotic equidistribution result for long closed geodesics on S. Applications include asymptotic estimates for the number of pants immersions into S satisfying various geometric constraints. Also we show that two uniformly random closed geodesics gamma_1, gamma_2 of length within epsilon of L have a high probability of partially bounding an immersed 4-holed sphere whose other boundary components also have length within epsilon of L. Version 2: The coefficient in corollary 1.6 corrected from 16 to 8.
dc.description43 pages
dc.identifierhttps://arxiv.org/abs/math/0505480
dc.identifierhttp://arxiv.org/abs/math/0505480
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75284
dc.subjectGeometric Topology
dc.subjectDynamical Systems
dc.subject20E09, 20F69, 37E35, 51M10
dc.titleImmersions of Pants into a Fixed Hyperbolic Surface
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