A universal Cannon-Thurston map and the surviving curve complex
Geometric Topology
2021-01-26 v1
Abstract
Using the Birmanexact sequence for pure mapping class groups, we construct a universal Cannon--Thurston map onto the boundary of a curve complex for a surface with punctures we call surviving curve complex. Along the way we prove hyperbolicity of this complex and identify its boundary as a space of laminations. As a corollary we obtain a universal Cannon--Thurston map to the boundary of the ordinary curve complex, extending earlier work of the second author with Mj and Schleimer.
Cite
@article{arxiv.2101.09876,
title = {A universal Cannon-Thurston map and the surviving curve complex},
author = {Funda Gültepe and Christopher J Leininger and Witsarut Pho-On},
journal= {arXiv preprint arXiv:2101.09876},
year = {2021}
}
Comments
45 pages