Online Archive of University of Virginia Scholarship
Right-angled Artin groups in mapping-class groups274 views
Author
Runnels, Ian, Mathematics - Graduate School of Arts and Sciences, University of Virginia
Advisors
Koberda, Thomas, University of Virginia
Abstract
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.
Degree
PHD (Doctor of Philosophy)
Keywords
mapping class group; right-angled artin group
Language
English
Rights
All rights reserved (no additional license for public reuse)
Runnels, Ian. Right-angled Artin groups in mapping-class groups. University of Virginia, Mathematics - Graduate School of Arts and Sciences, PHD (Doctor of Philosophy), 2021-04-26, https://doi.org/10.18130/jy3m-gq27.
