#### Volume 18, issue 2 (2018)

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Taut branched surfaces from veering triangulations

### Michael Landry

Algebraic & Geometric Topology 18 (2018) 1089–1114
##### Abstract

Let $M$ be a closed hyperbolic $3$–manifold with a fibered face $\sigma$ of the unit ball of the Thurston norm on ${H}_{2}\left(M\right)$. If $M$ satisfies a certain condition related to Agol’s veering triangulations, we 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.

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