Mapping class groups of surfaces with noncompact boundary components

Ryan Dickmann

doi:10.2140/agt.2023.23.2777

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arXiv · 2101.00564

Mapping class groups of surfaces with noncompact boundary components

Ryan Dickmann

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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.

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Ryan Dickmann. 2021-01-03. Mapping class groups of surfaces with noncompact boundary components. https://doi.org/10.2140/agt.2023.23.2777

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