Quotients of the curve complex
Geometric Topology
2020-10-27 v1
Abstract
We consider three kinds of quotients of the curve complex which are obtained by coning off uniformly quasi-convex subspaces: symmetric curve sets, non-maximal train track sets, and compression body disc sets. We show that the actions of the mapping class group on those quotients are strongly WPD, which implies that the actions are non-elementary and those quotients are of infinite diameter.
Keywords
Cite
@article{arxiv.2010.13360,
title = {Quotients of the curve complex},
author = {Joseph Maher and Hidetoshi Masai and Saul Schleimer},
journal= {arXiv preprint arXiv:2010.13360},
year = {2020}
}
Comments
26 pages, 6 figures