Smooth functions on 2-torus whose Kronrod-Reeb graph contains a cycle

zbMath1340.57009arXiv1411.6863MaRDI QIDQ3464074

Bohdan Feshchenko, Sergiy Maksymenko

Publication date: 20 January 2016

Full work available at URL: https://arxiv.org/abs/1411.6863

zbMATH Keywords

fundamental groupMorse functionKronrod-Reeb graph

Mathematics Subject Classification ID

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)

Unnamed Item ⋮ 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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