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

2019/12/02 by Kravchenko, Anna, Bohdan Feshchenko, Feshchenko, Bohdan · 1 citation
Computer Science · Mathematics · #Topological and Geometric Data Analysis #Geometric and Algebraic Topology #Advanced Combinatorial Mathematics

paper · pdf · doi:10.48550/arxiv.1912.00624

Abstract

This paper is devoted to the study of special subgroups of the automorphism groups of Kronrod-Reeb graphs of a Morse functions on 2-torus T² which arise from the action of diffeomorphisms preserving a given Morse function on T². In this paper we give a full description of such classes of groups.

Cited by

• Smooth functions that split a Klein bottle into two Möbius bands

Related

• Deformations of smooth function on 2-torus whose KR-graph is a tree
• Smooth functions on 2-torus whose Kronrod-Reeb graph contains a cycle
• Deformations of smooth functions on 2-torus
• Reeb graph invariants of Morse functions and 3-manifold groups
• Topological structure of Morse functions on the projective plane