Universal Objects for the Thurston Geometries

par Daryl Cooper (University of California, Santa Barbara)

lundi 12 mai 2025, 16:00 → 17:15 Europe/Paris

Centre de conférences Marilyn et James Simons (IHES)

Branched manifolds were introduced by Bob Williams in his study of dynamical systems, and generalize the notion of train tracks. Let G be one of the eight Thurston geometries. There is a branched 3-manifold W(G) with a finite triangulation such that a closed 3-manifold M immerses into W(G) if and only if M admits a G-structure. Equivalently, there is a combinatorial characterization of those manifolds that admit a G-structure. This is joint with Priyam Patel and Leslie Mavrakis.