Knot as a complete invariant of the diffeomorphism of surfaces with three periodic orbits

DOI10.1134/s0037446623040031zbMath1526.37048OpenAlexW4385192121MaRDI QIDQ6175219

D. A. Baranov, Olga V. Pochinka, E. S. Kosolapov

Publication date: 18 August 2023

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446623040031

zbMATH Keywords

surfaceknotMorse-Smale diffeomorphismsgradient-like diffeomorphismhyperbolic periodic orbits

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Periodic orbits of vector fields and flows (37C27) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Dynamical systems involving smooth mappings and diffeomorphisms (37C05) Morse-Smale systems (37D15)

Cites Work

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• Dynamical systems on 2- and 3-manifolds
• Maximum orders of periodic maps on closed surfaces
• A three-colour graph as a complete topological invariant for gradient-like diffeomorphisms of surfaces
• Differentiable dynamical systems
• Classification of periodic transformations of an orientable surface of genus two

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