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2025 - T2 - Higher rank geometric structures

Collection 2025 - T2 - Higher rank geometric structures

Organizer(s) Bromberg, Kenneth ; Pozzetti, Maria Beatrice ; Sambarino, Andrès ; Tholozan, Nicolas
Date(s) 14/04/2025 - 11/07/2025
linked URL https://indico.math.cnrs.fr/event/11551/
28 80

Atoroidal Surface Bundles

By Autumn Kent

Also appears in collection : 2025 - T2 - WS2 - Low-dimensional phenomena: geometry and dynamics

I will discuss recent work with C. Leininger in which we produce purely pseudo-Anosov surface subgroups of mapping class groups, obtaining the first compact atoroidal surface bundles over surfaces. 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.

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