Departmental Colloquium
Chris Leininger
Rice University
Atoroidal Surface bundles
Abstract: I will discuss joint work with Autumn Kent in which we establish the existence of purely pseudo-Anosov surface subgroups of mapping class groups. We do this by constructing a type-preserving representation of the figure eight knot group into the mapping class group of the thrice-punctured sphere. As a corollary we obtain the first examples of closed atoroidal surface bundles over surfaces.
Friday January 24, 2025 at 3:00 PM in 636 SEO