1CUNY College of Staten Island and CUNY Graduate Center, Staten Island, USA 2Tokyo Institute of Technology, Tokyo, Japan 3University of Warwick, Coventry, UK
Groups, geometry, and dynamics, Tome 18 (2024) no. 2, pp. 379-405
We consider three kinds of quotients of the curve complex, which are obtained by coning off uniformly quasiconvex 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 weakly properly discontinuously (WPD), which implies that the actions are non-elementary and those quotients are of infinite diameter.
1
CUNY College of Staten Island and CUNY Graduate Center, Staten Island, USA
2
Tokyo Institute of Technology, Tokyo, Japan
3
University of Warwick, Coventry, UK
Joseph Maher; Hidetoshi Masai; Saul Schleimer. Quotients of the curve complex. Groups, geometry, and dynamics, Tome 18 (2024) no. 2, pp. 379-405. doi: 10.4171/ggd/768
@article{10_4171_ggd_768,
author = {Joseph Maher and Hidetoshi Masai and Saul Schleimer},
title = {Quotients of the curve complex},
journal = {Groups, geometry, and dynamics},
pages = {379--405},
year = {2024},
volume = {18},
number = {2},
doi = {10.4171/ggd/768},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/768/}
}
TY - JOUR
AU - Joseph Maher
AU - Hidetoshi Masai
AU - Saul Schleimer
TI - Quotients of the curve complex
JO - Groups, geometry, and dynamics
PY - 2024
SP - 379
EP - 405
VL - 18
IS - 2
UR - http://geodesic.mathdoc.fr/articles/10.4171/ggd/768/
DO - 10.4171/ggd/768
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