2023/08/07 by Hajime Kubota, Kubota, Hajime
Computer Science · Mathematics · #Topological and Geometric Data Analysis #Homotopy and Cohomology in Algebraic Topology #Advanced Combinatorial Mathematics
paper · pdf · doi:10.48550/arxiv.2308.03324
In this paper, we research the grid homology for spatial graphs with cut edges. We show that the grid homology for spatial graph f is trivial if f has sinks, sources, or cut edges. As an application, we give purely combinatorial proofs of some formulas including a Künneth formula for the knot Floer homology of connected sums in the framework of the grid homology.