Topological entropy for Reeb vector fields in dimension three via open book decompositions

DOI10.5802/jep.89zbMath1415.57011arXiv1705.08134OpenAlexW2616868807WikidataQ128346358 ScholiaQ128346358MaRDI QIDQ1729927

Marcelo R. R. Alves, Ko Honda, Vincent Colin

Publication date: 7 March 2019

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.08134

zbMATH Keywords

mapping class grouptopological entropyopen book decompositionscontact structurescontact homologyReeb dynamics

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) General geometric structures on low-dimensional manifolds (57M50) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Topological entropy (37B40)

Related Items (7)

Hofer's geometry and topological entropy ⋮ Entropy collapse versus entropy rigidity for Reeb and Finsler flows ⋮ On the existence of supporting broken book decompositions for contact forms in dimension 3 ⋮ Dynamical systems. Abstracts from the workshop held July 11--17, 2021 (hybrid meeting) ⋮ Orbit growth of contact structures after surgery ⋮ Dynamically exotic contact spheres in dimensions \(\geq 7\) ⋮ Reeb orbits that force topological entropy

Uses Software

• VFC package

Cites Work

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