Algebraic & Geometric Topology

Taut branched surfaces from veering triangulations

Michael Landry

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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

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

Received: 2 May 2017
Revised: 21 September 2017
Accepted: 30 September 2017
First available in Project Euclid: 22 March 2018

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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

branched surface Thurston norm veering triangulation


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

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