Explicit angle structures for veering triangulations

DOI10.2140/agt.2013.13.205zbMath1270.57054arXiv1012.5134OpenAlexW3099766793MaRDI QIDQ1938763

David Futer, Francçois Guéritaud

Publication date: 25 February 2013

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.5134

zbMATH Keywords

geometric structurehyperbolic surface bundleveering triangulationangle structure

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Triangulating (57R05)

Related Items (16)

The taut polynomial and the Alexander polynomial ⋮ Geometric triangulations of a family of hyperbolic 3-braids ⋮ Fibered faces, veering triangulations, and the arc complex ⋮ Veering branched surfaces, surgeries, and geodesic flows ⋮ Geometric triangulations and highly twisted links ⋮ Flows, growth rates, and the veering polynomial ⋮ A polynomial invariant for veering triangulations ⋮ Computation of the Taut, the Veering and the Teichmüller Polynomials ⋮ Stable loops and almost transverse surfaces ⋮ Taut branched surfaces from veering triangulations ⋮ Random veering triangulations are not geometric ⋮ Non-geometric Veering Triangulations ⋮ Veering structures of the canonical decompositions of hyperbolic fibered two-bridge link complements ⋮ Experimental Statistics of Veering Triangulations ⋮ Veering triangulations and Cannon–Thurston maps ⋮ Veering triangulations and the Thurston norm: homology to isotopy

Uses Software

• Veering

Cites Work

• Veering triangulations admit strict angle structures
• Ideal triangulations of 3-manifolds II; taut and angle structures
• On canonical triangulations of once-punctured torus bundles and two-bridge link complements. With an appendix by David Futer.
• An algorithm to determine the Heegaard genus of simple 3-manifolds with nonempty boundary
• The Thurston norm via normal surfaces
• Euclidean structures on simplicial surfaces and hyperbolic volume
• Combinatorial optimization in geometry
• Word hyperbolic Dehn surgery
• Taut ideal triangulations of \(3\)-manifolds
• Ideal triangulations of pseudo-Anosov mapping tori
• From angled triangulations to hyperbolic structures
• Angle structures and normal surfaces
• Angled decompositions of arborescent link complements
• Démonstration d'un théorème de Penner sur la composition des twists de Dehn

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