A combinatorial construction of the moduli space of flowlines in discrete Morse theory

2023/10/02 by Sophie Bleau, Bleau, Sophie
Computer Science · Mathematics · #Algebraic Topology (math.AT) #Combinatorics (math.CO) #Differential Geometry (math.DG) #Digital Image Processing Techniques #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.2310.02289

openalex publication_date 2023/10/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct the moduli space of index 2 flowlines of a discrete Morse function, giving a new proof that the Morse differential squares to zero in discrete Morse homology.

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