Mapping class groups for 2-orbifolds
Geometric Topology
2023-05-09 v1 Group Theory
Abstract
We define orbifold mapping class groups (with marked points) and study them using their action on certain orbifold analogs of arcs and simple closed curves. Moreover, we establish a Birman exact sequence for suitable subgroups of orbifold mapping class groups. The short exact sequence allows us to deduce finite presentations of these groups. This is the basis for a similar discussion of orbifold braid groups in [6].
Cite
@article{arxiv.2305.04272,
title = {Mapping class groups for 2-orbifolds},
author = {Jonas Flechsig},
journal= {arXiv preprint arXiv:2305.04272},
year = {2023}
}
Comments
47 pages, 27 figures