Veering triangulations and the Thurston norm: homology to isotopy

2020/06/29 by Landry, Michael P.
#57K32 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2006.16328

Abstract

We show that a veering triangulation τ specifies a face σ of the Thurston norm ball of a closed three-manifold, and computes the Thurston norm in the cone over σ. Further, we show that τ collates exactly the taut surfaces representing classes in the cone over σ up to isotopy. The analysis includes nonlayered veering triangulations and nonfibered faces.

Related

• The Thurston norm via Normal Surfaces
• A polynomial invariant for veering triangulations
• A survey of the Thurston norm
• The Thurston norm via spun-normal immersions
• The sutured Thurston norm