Right-angled Artin groups in mapping-class groups
Runnels, Ian, Mathematics - Graduate School of Arts and Sciences, University of Virginia
Koberda, Thomas, University of Virginia
The study of free, and more generally, right-angled Artin subgroups of mapping class groups has a long history in geometric group theory. The goal of this thesis is to present a general embedding theorem for such subgroups by combining ideas from Koberda and Clay-Leininger-Mangahas in a unified way, via the hierarchical structure of curve graphs as laid out by Masur-Minsky.
PHD (Doctor of Philosophy)
mapping class group, right-angled artin group
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