Non-geometric Veering Triangulations

DOI10.1080/10586458.2015.1005256zbMath1337.57043arXiv1406.6439OpenAlexW2108897619MaRDI QIDQ2801067

Henry Segerman, Craig D. Hodgson, Ahmad Issa

Publication date: 19 April 2016

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.6439

zbMATH Keywords

hyperbolic 3-manifoldsfibered 3-manifoldsgeometric triangulationsveering triangulationsconjugacy problem for mapping class groups

Mathematics Subject Classification ID

Topological methods in group theory (57M07) Triangulating manifolds (57Q15) General geometric structures on low-dimensional manifolds (57M50) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Related Items (11)

Fibered faces, veering triangulations, and the arc complex ⋮ Agol cycles of pseudo-Anosov 3-braids ⋮ Geometric triangulations and highly twisted links ⋮ Flows, growth rates, and the veering polynomial ⋮ Taut branched surfaces from veering triangulations ⋮ Random veering triangulations are not geometric ⋮ Veering structures of the canonical decompositions of hyperbolic fibered two-bridge link complements ⋮ Experimental Statistics of Veering Triangulations ⋮ A Survey of the Impact of Thurston’s Work on Knot Theory ⋮ Veering triangulations and Cannon–Thurston maps ⋮ Veering triangulations and the Thurston norm: homology to isotopy

Uses Software

• SnapPea
• SnapPy
• Trains
• Snap
• Veering
• Twister

Cites Work

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• Hyperbolic structures from Sol on pseudo-Anosov mapping tori
• Veering triangulations admit strict angle structures
• On canonical triangulations of once-punctured torus bundles and two-bridge link complements. With an appendix by David Futer.
• On the classification of homeomorphisms of 2-manifolds and the classification of 3-manifolds
• Train-tracks for surface homeomorphisms
• The canonical decomposition of once-punctured torus bundles
• A generalisation of the deformation variety
• Explicit angle structures for veering triangulations
• Bloch invariants of hyperbolic \(3\)-manifolds
• Ideal triangulations of pseudo-Anosov mapping tori
• Thurston's Work on Surfaces (MN-48)
• Combinatorics of Train Tracks. (AM-125)
• Computing Arithmetic Invariants of 3-Manifolds

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