Asymptotic behavior of grafting rays

Details Asymptotic behavior of grafting rays Asymptotic behavior of grafting rays

2007-09-05

arxiv.org/abs/0709.0638v2

Mathematics

Geometric Topology

Scientific paper

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.

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