Taut branched surfaces from veering triangulations

Landry, Michael

doi:10.2140/agt.2018.18.1089

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Taut branched surfaces from veering triangulations

Michael Landry

Algebraic & Geometric Topology 18 (2018) 1089–1114

DOI: 10.2140/agt.2018.18.1089

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.

Keywords

branched surface, Thurston norm, veering triangulation

Mathematical Subject Classification 2010

Primary: 57M99

References

Publication

Received: 2 May 2017

Revised: 21 September 2017

Accepted: 30 September 2017

Published: 12 March 2018

Authors

Michael Landry
Mathematics Department Yale University New Haven, CT United States

Volume 18, issue 2 (2018)