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 σ of the unit ball of the Thurston norm on H2(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.

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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