Cylindrical contact homology and topological entropy

DOI10.2140/gt.2016.20.3519zbMath1362.37041arXiv1410.3380OpenAlexW1913850300MaRDI QIDQ511600

Marcelo R. R. Alves

Publication date: 22 February 2017

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

Full work available at URL: https://arxiv.org/abs/1410.3380

zbMATH Keywords

topological entropycontact homologyReeb flowssymplectic field theory

Mathematics Subject Classification ID

Global theory of symplectic and contact manifolds (53D35) Topological entropy (37B40) Symplectic field theory; contact homology (53D42)

Related Items (14)

Positive topological entropy for Reeb flows on 3-dimensional Anosov contact manifolds ⋮ \(C^0\)-robustness of topological entropy for geodesic flows ⋮ Lower complexity bounds for positive contactomorphisms ⋮ Translated points on hypertight contact manifolds ⋮ Hofer's geometry and topological entropy ⋮ Entropy collapse versus entropy rigidity for Reeb and Finsler flows ⋮ Bott‐integrable Reeb flows on 3‐manifolds ⋮ Legendrian contact homology and topological entropy ⋮ Topological entropy for Reeb vector fields in dimension three via open book decompositions ⋮ Floer homologies, with applications ⋮ Orbit growth of contact structures after surgery ⋮ C0-stability of topological entropy for contactomorphisms ⋮ Dynamically exotic contact spheres in dimensions \(\geq 7\) ⋮ Reeb orbits that force topological entropy

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