Topological entropy of pseudo-Anosov maps on punctured surfaces vs. homology of mapping tori

DOI10.3336/gm.57.2.09OpenAlexW4313362712MaRDI QIDQ5871573

Juhun Baik, Hyungrul Baik, Philippe Tranchida, Chang Sub Kim

Publication date: 23 January 2023

Published in: Glasnik Matematicki (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.01007

zbMATH Keywords

homologytopological entropypseudo-Anosov mapfibered \(3\)-manifold

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) Dynamical systems with singularities (billiards, etc.) (37C83) Other geometric structures on 3-manifolds (57K35)

Cites Work

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• The Murasugi sum is a natural geometric operation
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• Bounds on Least Dilatations
• The lower central series and pseudo-Anosov dilatations
• On the geometry and dynamics of diffeomorphisms of surfaces
• Surgeries on one component of the Whitehead link are virtually fibered

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