Divergence and parallelism of cylindrical stretch lines
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Publication:2211183
DOI10.2140/AGT.2010.10.2451zbMATH Open1452.30023arXiv0907.1746OpenAlexW2964298889MaRDI QIDQ2211183
Publication date: 12 November 2020
Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/0907.1746
General geometric structures on low-dimensional manifolds (57M50) Teichmüller theory for Riemann surfaces (30F60)
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