A survey of veering triangulations

Abstract: Veering triangulations are combinatorial objects introduced by Agol to describe three-manifolds with pseudo-Anosov bundle structures. I'll describe past work with various coauthors relating veering triangulations to other structures on triangulations: strict angle structures and geometric structures, and in building censuses of veering triangulations. I'll also talk about ongoing work with Saul Schleimer to extend Agol's correspondence to manifolds with pseudo-Anosov flows, and work with Jason Manning and Saul Schleimer to produce Cannon-Thurston maps from veering triangulations. These include the first examples of Cannon-Thurston maps that do not come, even virtually, from surface subgroups.

algebraic topologydifferential geometrygeneral topologygeometric topology

Audience: researchers in the topic

UT Dallas Geometry-Topology Seminars

Series comments: Zoom link for the online talks will be posted in the seminar webpage.