Morse flows with fixed points on the boundary of 3-manifold

2022/09/08 by Svitlana Bilun, Bilun, Svitlana, Alexandr Prishlyak +3
Mathematics · Computer Science · #Geometric and Algebraic Topology #Topological and Geometric Data Analysis #Mathematical Dynamics and Fractals

paper · doi:10.48550/arxiv.2209.04019

Abstract

The paper is devoted to the study of topological properties, structure and classification of Morse flows with fixed points on the boundary of three-dimensional manifolds. We construct a complete topological invariant of a Morse flow, Pr-diagram, which is similar to the Heegaard diagram of a closed 3-manifold.

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