Mapping class groups of surfaces with noncompact boundary components
Geometric Topology
2023-09-13 v2 Group Theory
Abstract
We show that the pure mapping class group is uniformly perfect for a certain class of infinite type surfaces with noncompact boundary components. We then combine this result with recent work in the remaining cases to give a complete classification of the perfect and uniformly perfect pure mapping class groups for infinite type surfaces. We also develop a method to cut a general surface into simpler surfaces and extend some mapping class group results to the general case.
Cite
@article{arxiv.2101.00564,
title = {Mapping class groups of surfaces with noncompact boundary components},
author = {Ryan Dickmann},
journal= {arXiv preprint arXiv:2101.00564},
year = {2023}
}
Comments
40 pages, 13 figures. v2: Several minor changes/incorporated referee comments. Accepted to Algebraic and Geometric Topology