Taut branched surfaces from veering triangulations

Abstract

Let $M$ be a closed hyperbolic 3-manifold with a fibered face $\sigma$ of the unit ball of the Thurston norm on $H_2(M)$. 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 1985 question of Oertel, and extends an earlier partial answer due to Mosher.

25 pages, 8 figures. Revised after receiving feedback from the referee and others; to appear in Algebraic and Geometric Topology

References in corpus (1)

• Veering triangulations and Cannon-Thurston maps

Cited by in corpus (3)

• Dynamics of veering triangulations: infinitesimal components of their flow graphs and applications
• The taut polynomial and the Alexander polynomial
• Mutations and faces of the Thurston norm ball dynamically represented by multiple distinct flows