## Algebraic & Geometric Topology

### Taut branched surfaces from veering triangulations

Michael Landry

#### Abstract

Let $M$ be a closed hyperbolic $3$–manifold with a fibered face $σ$ of the unit ball of the Thurston norm on $H 2 ( M )$. If $M$ satisfies a certain condition related to Agol’s veering triangulations, we construct a taut branched surface in $M$ spanning $σ$. This partially answers a 1986 question of Oertel, and extends an earlier partial answer due to Mosher.

#### Article information

Source
Algebr. Geom. Topol., Volume 18, Number 2 (2018), 1089-1114.

Dates
Revised: 21 September 2017
Accepted: 30 September 2017
First available in Project Euclid: 22 March 2018

https://projecteuclid.org/euclid.agt/1521684031

Digital Object Identifier
doi:10.2140/agt.2018.18.1089

Mathematical Reviews number (MathSciNet)
MR3773749

Zentralblatt MATH identifier
06859615

Subjects
Primary: 57M99: None of the above, but in this section

#### Citation

Landry, Michael. Taut branched surfaces from veering triangulations. Algebr. Geom. Topol. 18 (2018), no. 2, 1089--1114. doi:10.2140/agt.2018.18.1089. https://projecteuclid.org/euclid.agt/1521684031

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