Torsion and linking number for a surface diffeomorphism

DOI10.1007/s00209-018-2182-2zbMath1472.58008arXiv1801.07751OpenAlexW2964256402MaRDI QIDQ2633133

Anna Florio

Publication date: 8 May 2019

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.07751

zbMATH Keywords

surface diffeomorphismslinking numbertorsion (i.e. Ruelle's rotation number)

Mathematics Subject Classification ID

Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10) Rotation numbers and vectors (37E45)

Related Items (3)

Twist maps of the annulus: an abstract point of view ⋮ On the set of points of zero torsion for negative-torsion maps of the annulus ⋮ Torsion of instability zones for conservative twist maps on the annulus

Cites Work

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• Amount of rotation about a point and the Morse index
• The periodic orbits of an area preserving twist map
• Existence of quasi-periodic orbits for twist homeomorphisms of the annulus
• Existence of orbits with non-zero torsion for certain types of surface diffeomorphisms
• Glancing billiards
• Monotone twist mappings and the calculus of variations
• Variational Construction of Orbits of Twist Diffeomorphisms
• Ensembles de torsion nulle des applications déviant la verticale
• On the Ruelle invariants for diffeomorphisms of the two torus

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