Right-angled Artin groups in mapping-class groups

Author:
Runnels, Ian, Mathematics - Graduate School of Arts and Sciences, University of Virginia
Advisor:
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)
Issued Date:
2021/04/26