Grid homology for spatial graphs and a K\"{u}nneth formula of connected sum

Hajime Kubota

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arXiv · 2308.03324

Grid homology for spatial graphs and a K\"{u}nneth formula of connected sum

Hajime Kubota

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Abstract

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 K\"{u}nneth formula for the knot Floer homology of connected sums in the framework of the grid homology.

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Hajime Kubota. 2023-08-07. Grid homology for spatial graphs and a K\"{u}nneth formula of connected sum. https://arxiv.org/abs/2308.03324

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