Let be a closed hyperbolic –manifold with a fibered face of the unit ball of the Thurston norm on . If satisfies a certain condition related to Agol’s veering triangulations, we construct a taut branched surface in spanning . This partially answers a 1986 question of Oertel, and extends an earlier partial answer due to Mosher.
"Taut branched surfaces from veering triangulations." Algebr. Geom. Topol. 18 (2) 1089 - 1114, 2018. https://doi.org/10.2140/agt.2018.18.1089