2 papers
math.GT2025
Combinatorial knot Floer homology and tangle decompositions
Hajime Kubota
We partially determine grid homology (combinatorial knot Floer homology) of diagonal knots, which are conjectured to be equivalent to positive braid knots, by exploiting nice grid…
math.GT2024
Quasi-isomorphism of grid chain complexes for a connected sum of knots
Hajime Kubota
We give a purely combinatorial proof of a Künneth formula for the minus version of knot Floer homology of connected sums by constructing a quasi-isomorphism of grid chain complexe…