Automorphisms of Kronrod-Reeb graphs of Morse functions on 2-sphere

DOI10.15673/tmgc.v11i4.1306zbMath1419.37038arXiv1903.09721OpenAlexW2952610431MaRDI QIDQ5232272

Anna Kravchenko, Sergiy Maksymenko

Publication date: 30 August 2019

Published in: Proceedings of the International Geometry Center (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.09721

zbMATH Keywords

Morse functionKronrod-Reeb graph

Mathematics Subject Classification ID

Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Dynamical systems involving maps of trees and graphs (37E25) Groups as automorphisms of other structures (22F50)

Related Items (1)

Automorphisms of Kronrod-Reeb graphs of Morse functions on 2-sphere

Cites Work

• Orbits of smooth functions on 2-torus and their homotopy types
• Homotopic types of right stabilizers and orbits of smooth functions on surfaces
• Connected components of spaces of Morse functions with fixed critical points
• The topology of spaces of Morse functions on surfaces
• Deformations of functions on surfaces by isotopic to the identity diffeomorphisms
• Homotopy types of stabilizers and orbits of Morse functions on surfaces
• On the homotopy type of spaces of Morse functions on surfaces
• Functions with isolated singularities on surfaces, II
• Smooth functions on 2-torus whose Kronrod-Reeb graph contains a cycle
• Framed Morse functions on surfaces
• Automorphisms of Kronrod-Reeb graphs of Morse functions on 2-sphere
• Diffeomorphisms of the 2-Sphere

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