Asymptotic behavior of grafting rays
Geometric Topology
2007-09-20 v2
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.
Cite
@article{arxiv.0709.0638,
title = {Asymptotic behavior of grafting rays},
author = {Raquel Diaz and Inkang Kim},
journal= {arXiv preprint arXiv:0709.0638},
year = {2007}
}