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Asymptotic behabior of grafting rays

Díaz Sánchez, Raquel and Inkang, Kim (2012) Asymptotic behabior of grafting rays. Geometriae dedicata, 158 (1). pp. 267-281. ISSN 1572-9168

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Abstract

In this paper we study the convergence behavior of grafting rays to the Thurston boundary of Teichmuller space. When the grafting is done along a weighted system of simple closed curves or along a maximal uniquely ergodic lamination this behavior is the same as for Teichmuller geodesics and lines of minima. We also show that the ray grafted along a weighted system of simple closed curves is at bounded distance from Teichmuller geodesic.

Item Type:Article
Uncontrolled Keywords:Projective structure; Hyperbolic structure; Grafting; Teichmüller space
Subjects:Sciences > Mathematics > Geometry
ID Code:15717
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Deposited On:21 Jun 2012 11:10
Last Modified:06 Feb 2014 10:30

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