Non-singular Smale flows on three-dimensional manifolds and Whitehead torsion

DOI10.1017/S0143385709000935zbMath1230.37038OpenAlexW2124391442MaRDI QIDQ3074759

Xuezhi Zhao

Publication date: 10 February 2011

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385709000935

zbMATH Keywords

Conley indexthree-manifoldWhitehead torsionSmale flows

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Generic properties, structural stability of dynamical systems (37C20) Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. (57Q10) Index theory for dynamical systems, Morse-Conley indices (37B30) Morse-Smale systems (37D15)

Cites Work

• Knots and links in three-dimensional flows
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• Knots, links, and symbolic dynamics
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• Visually building Smale flows in \(S^3\)
• Cohomology of isolated invariant sets under perturbation
• Expansive one-parameter flows
• One-dimensional hyperbolic sets for flows
• Knotted periodic orbits in dynamical system. II. Knot holders for fibered knots
• Reidemeister torsion in knot theory
• Reidemeister torsion and Morse–Smale flows
• Whitehead torsion
• Differentiable dynamical systems