Topology Seminar (Main Talk): Taut branched surfaces which span fibered faces

Seminar | January 24 | 4-5 p.m. | 3 Evans Hall

 Michael Landry, Yale University

 Department of Mathematics

Let \(M\) be a closed hyperbolic 3-manifold with a fibered face \(\sigma\) of the unit ball of the Thurston norm on \(H_2(M)\). If \(M\) satisfies a certain condition related to Agol’s veering triangulation, we can construct a taut branched surface in \(M\) spanning \(\sigma\). This partially answers a 1986 question of Oertel, and extends an earlier partial answer due to Mosher.