Orbits of smooth functions on 2-torus and their homotopy types

DOI10.15330/ms.44.1.67-83zbMath1376.37048arXiv1409.0502OpenAlexW2232964815MaRDI QIDQ332247

B. G. Feshchenko, Sergiy Maksymenko

Publication date: 27 October 2016

Published in: Matematychni Studiï (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.0502

zbMATH Keywords

diffeomorphismhomotopy typeMorse function

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Singularities of differentiable mappings in differential topology (57R45) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (9)

Homotopy types of diffeomorphism groups of polar Morse-Bott foliations on lens spaces. I ⋮ Topological actions of wreath products ⋮ Deformations of functions on surfaces by isotopic to the identity diffeomorphisms ⋮ First Betti numbers of the orbits of Morse functions on surfaces ⋮ Deformations of circle-valued Morse functions on 2-torus ⋮ Automorphisms of Kronrod-Reeb graphs of Morse functions on compact surfaces ⋮ Symplectomorphisms of surfaces preserving a smooth function. I. ⋮ Diffeomorphisms preserving Morse-Bott functions ⋮ Automorphisms of Kronrod-Reeb graphs of Morse functions on 2-sphere

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