Fibrations of 3-manifolds and asymptotic translation length in the arc complex

DOI10.2140/agt.2023.23.4087arXiv1810.07236OpenAlexW2896850323MaRDI QIDQ6065481

Balázs Strenner

Publication date: 11 December 2023

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

Full work available at URL: https://arxiv.org/abs/1810.07236

zbMATH Keywords

fibrations3-manifoldveering triangulation

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Lattices and convex bodies (number-theoretic aspects) (11H06) General geometric structures on low-dimensional manifolds (57M50) Group actions on manifolds and cell complexes in low dimensions (57M60) Lattice points in specified regions (11P21)

Cites Work

• Minimal pseudo-Anosov translation lengths on the complex of curves
• The geometry of cross sections to flows
• Flow equivalence, hyperbolic systems and a new zeta function for flows
• Fibered faces, veering triangulations, and the arc complex
• Small asymptotic translation lengths of pseudo-Anosov maps on the curve complex
• Asymptotic translation length in the curve complex
• Polynomial invariants for fibered 3-manifolds and Teichmüller geodesics for foliations
• Ideal triangulations of pseudo-Anosov mapping tori
• Veering triangulations and Cannon–Thurston maps
• An upper bound on the asymptotic translation lengths on the curve graph and fibered faces
• Genera of the arborescent links
• Cusp geometry of fibered 3-manifolds
• Asymptotic translation lengths and normal generation for pseudo-Anosov monodromies of fibered 3-manifolds
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