Quotient families of mapping classes

zbMath1453.57012arXiv1212.3197MaRDI QIDQ5112612

Eriko Hironaka

Publication date: 2 June 2020

Full work available at URL: https://arxiv.org/abs/1212.3197

zbMATH Keywords

hyperbolic 3-manifoldAlexander polynomialTeichmüller polynomialfibered face theorypseudo-Anosov surface homeomorphism

Mathematics Subject Classification ID

Low-dimensional dynamical systems (37E99) Homology theories in knot theory (Khovanov, Heegaard-Floer, etc.) (57K18)

Related Items (1)

An upper bound on the asymptotic translation lengths on the curve graph and fibered faces

Cites Work

• Unnamed Item
• On the minimum dilatation of pseudo-Anosov homeromorphisms on surfaces of small genus
• Small dilatation mapping classes coming from the simplest hyperbolic braid
• Small dilatation pseudo-Anosov homeomorphisms and 3-manifolds
• Sequences of pseudo-Anosov mapping classes and their asymptotic behavior
• A family of pseudo-Anosov braids with small dilatation
• The asymptotic behavior of least pseudo-Anosov dilatations
• The Alexander polynomial of a 3-manifold and the Thurston norm on cohomology1
• Bounds on Least Dilatations
• Examples of Pseudo-Anosov Homeomorphisms

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