Automorphisms of Kronrod-Reeb graphs of Morse functions on compact surfaces

DOI10.1007/s40879-019-00379-8OpenAlexW3101874790WikidataQ126866574 ScholiaQ126866574MaRDI QIDQ1987695

Sergiy Maksymenko, Anna Kravchenko

Publication date: 15 April 2020

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.08746

zbMATH Keywords

wreath productMorse functionKronrod-Reeb graph

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamics induced by flows and semiflows (37C10) Extensions, wreath products, and other compositions of groups (20E22) Singularities of differentiable mappings in differential topology (57R45) Group actions on manifolds and cell complexes in low dimensions (57M60) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05) Dynamical systems involving smooth mappings and diffeomorphisms (37C05) Groups as automorphisms of other structures (22F50)

Related Items (4)

Criterion for a graph to admit a good orientation in terms of leaf blocks ⋮ Reeb graphs of circle-valued functions: a survey and basic facts ⋮ Realization of a digraph as the Reeb graph of a Morse-Bott function on a given surface ⋮ Deformations of functions on surfaces by isotopic to the identity diffeomorphisms

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