Homotopic types of right stabilizers and orbits of smooth functions on surfaces

DOI10.1007/s11253-013-0721-xzbMath1272.58008OpenAlexW1975341986MaRDI QIDQ352158

Sergiy Maksymenko

Publication date: 4 July 2013

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

Full work available at URL: https://doi.org/10.1007/s11253-013-0721-x

zbMATH Keywords

smooth mappingsgroup of diffeomorphismsisolated singularitiesMorse mappings

Mathematics Subject Classification ID

Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Singularities of differentiable mappings in differential topology (57R45) Global theory of singularities (58K30)

Related Items (6)

Homotopic properties of the spaces of smooth functions on a 2-torus ⋮ 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 ⋮ Automorphisms of Kronrod-Reeb graphs of Morse functions on compact surfaces ⋮ Automorphisms of Kronrod-Reeb graphs of Morse functions on 2-sphere

Cites Work

• Smooth shifts along trajectories of flows
• Homotopy types of stabilizers and orbits of Morse functions on surfaces
• A fibre bundle description of Teichmüller theory
• Teichmüller theory for surfaces with boundary
• Functions with isolated singularities on surfaces, II
• Functions on surfaces and incompressible subsurfaces
• Homotopy dimension of orbits of Morse functions on surfaces
• Extension of C ∞ Functions Defined in a Half Space
• Mapping class groups and their relationship to braid groups
• Un théorème de fonctions implicites sur certains espaces de Fréchet et quelques applications
• Le type d'homotopie du groupe des difféomorphismes d'une surface compacte
• Diffeomorphisms of the 2-Sphere

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