Conformal grafting and convergence of Fenchel-Nielsen twist coordinates
Geometric Topology
2019-10-08 v2 Complex Variables
Abstract
We cut a hyperbolic surface of finite area along some analytic simple closed curves, and glue in cylinders of varying moduli. We prove that as the moduli of the glued cylinders go to infinity, the Fenchel-Nielsen twist coordinates for the resulting surface around those cylinders converge.
Keywords
Cite
@article{arxiv.1409.0218,
title = {Conformal grafting and convergence of Fenchel-Nielsen twist coordinates},
author = {Maxime Fortier Bourque},
journal= {arXiv preprint arXiv:1409.0218},
year = {2019}
}
Comments
18 pages, 4 figures