Special framed Morse functions on surfaces

DOI10.3103/S0027132212040031zbMath1282.58011arXiv1106.3116MaRDI QIDQ355251

E. A. Kudryavtseva

Publication date: 24 July 2013

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.3116

zbMATH Keywords

Morse functionhomotopy equivalenceframed Morse functionspecial framed Morse functionstrong deformation retract

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)

Related Items (10)

Topology of the spaces of functions with prescribed singularities on surfaces ⋮ Abelian subgroups of the homeomorphism group generated by Dehn twists ⋮ Homotopy types of diffeomorphism groups of polar Morse-Bott foliations on lens spaces. I ⋮ The topology of spaces of Morse functions on surfaces ⋮ 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 ⋮ Diffeomorphisms preserving Morse-Bott functions ⋮ On the homotopy type of spaces of Morse functions on surfaces

Cites Work

• Connected components of spaces of Morse functions with fixed critical points
• Morse-type theory for integrable Hamiltonian systems with tame integrals
• Stable conjugation invariants of Hamiltonian systems on two-dimensional surfaces
• The topology of spaces of Morse functions on surfaces
• Uniform Morse lemma and isotopy criterion for Morse functions on surfaces
• A fibre bundle description of Teichmüller theory
• On the homotopy type of spaces of Morse functions on surfaces
• Framed Morse functions on surfaces
• ROUND MORSE FUNCTIONS AND ISOENERGY SURFACES OF INTEGRABLE HAMILTONIAN SYSTEMS
• Spectral boundary value problems for the Helmholtz equation with spectral parameter in boundary conditions on a non-smooth surface
• The diffeomorphism group of a compact Riemann surface
• Diffeomorphisms of the 2-Sphere

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