Right-angled Artin groups as normal subgroups of mapping class groups

Geometry & Topology
Event time: 
Tuesday, February 12, 2019 - 4:15pm
DL 431
Matt Clay
Speaker affiliation: 
University of Arkansas
Event description: 

 I will talk a method to construct normal subgroups isomorphic 
to non-free right-angled Artin groups.  This construction recovers, 
expands, and makes constructive the result of Dahmani, Guirardel, and 
Osin about free normal subgroups generated by a high power of a 
pseudo-Anosov.  We do this by creating a version of their “windmill” 
construction tailor-made for the projection complexes introduced by 
Bestvina, Bromberg, and Fujiwara.  This is joint work with Johanna 
Mangahas and Dan Margalit.

Research Area(s):