Thick-thin decomposition for quadratic differentials
Geometric Topology
2014-07-18 v1
Abstract
We compare the flat geometry associated to a quadratic differential with the hyperbolic geometry associated to the underlying Riemann surface. We show that if a curve is contained in a thick subsurface, then its hyperbolic length is comparable to its flat length times the flat size of the subsurface.
Cite
@article{arxiv.1407.4789,
title = {Thick-thin decomposition for quadratic differentials},
author = {Kasra Rafi},
journal= {arXiv preprint arXiv:1407.4789},
year = {2014}
}
Comments
This is an old paper that has been already published in 2007 in Math. Research Letters. I am posting it to the arxiv for completeness