On hyperbolic surface bundles over the circle as branched double covers of the $3$-sphere

DOI10.1090/proc/14825zbMath1433.57005arXiv1810.00212OpenAlexW2996323237MaRDI QIDQ5218225

Susumu Hirose, Eiko Kin

Publication date: 2 March 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.00212

zbMATH Keywords

braid groupsdilatationHeegaard surfacemapping class groupsfibered 3-manifoldpseudo-Anosovstretch factor2-fold branched cover of the 3-sphere

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Topological entropy (37B40) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Cites Work

• A construction of pseudo-Anosov braids with small normalized entropies
• Bounds on Least Dilatations
• On branched coverings of 3-manifolds which fiber over the circle.
• On 3-Manifolds Having Surface-Bundles as Branched Coverings
• On the geometry and dynamics of diffeomorphisms of surfaces
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