From veering triangulations to dynamic pairs
Saul Schleimer, Henry Segerman
TL;DR
This paper introduces a method to derive a canonical dynamic pair of branched surfaces from a transverse veering triangulation, utilizing a new shearing decomposition technique.
Contribution
It presents a novel shearing decomposition for veering triangulations and constructs a canonical dynamic pair of branched surfaces from them.
Findings
Introduces the shearing decomposition of veering triangulations.
Establishes a canonical association to dynamic pairs of branched surfaces.
Provides a new perspective on the structure of veering triangulations.
Abstract
From a transverse veering triangulation (not necessarily finite) we produce a canonically associated dynamic pair of branched surfaces. As a key idea in the proof, we introduce the shearing decomposition of a veering triangulation.
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Taxonomy
TopicsComputational Geometry and Mesh Generation · Advanced Numerical Analysis Techniques · Mathematics and Applications