University of Arkansas Topology Seminar: 10/4/2018

Speaker: Matthew Clay

Title: Right-angled Artin groups as normal subgroups of mapping class groups I

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.



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