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Divergence et parall\'elisme des rayons d'\'etirement cylindriques

By Guillaume Théret

Abstract

A cylindrical stretch line is a stretch line, in the sense of Thurston, whose horocyclic lamination is a weighted multicurve. In this paper, we show that two correctly parameterized cylindrical lines are parallel if and only if these lines converge towards the same point in Thurston's boundary of Teichm\"uller space.Comment: 13 pages, 2 figure

Topics: Mathematics - Geometric Topology
Year: 2009
OAI identifier: oai:arXiv.org:0907.1746

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