Coarsely bounded generating sets for mapping class groups of infinite-type surfaces
Geometric Topology
2025-05-23 v2
Abstract
Mann and Rafi's seminal work initiated the study of the coarse geometry of big mapping class groups. Specifically, they construct coarsely bounded (CB) generating sets for mapping class groups of a large class of infinite-type surfaces. In this expository note, we illustrate examples of surfaces whose mapping class groups admit such generating sets, as well as those that do not, with the goal of exploring the context of Mann--Rafi's hypotheses.
Keywords
Cite
@article{arxiv.2312.02361,
title = {Coarsely bounded generating sets for mapping class groups of infinite-type surfaces},
author = {Thomas Hill and Sanghoon Kwak and Rebecca Rechkin},
journal= {arXiv preprint arXiv:2312.02361},
year = {2025}
}
Comments
22 pages, 16 figures. v2: incorporated referee's comments