Coarsely bounded generating sets for mapping class groups of infinite-type surfaces

Thomas Hill; Sanghoon Kwak; Rebecca Rechkin

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arXiv · 2312.02361

Coarsely bounded generating sets for mapping class groups of infinite-type surfaces

Thomas Hill·Sanghoon Kwak·Rebecca Rechkin

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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.

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Thomas Hill, Sanghoon Kwak, Rebecca Rechkin. 2023-12-04. Coarsely bounded generating sets for mapping class groups of infinite-type surfaces. https://arxiv.org/abs/2312.02361

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