Masaki Taniguchi

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20242026

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math.GT2025

Equivariant lattice homology for Seifert homology 3-spheres

Sungkyung Kang, JungHwan Park, Masaki Taniguchi

We develop an $S^{1} \times Z_{p}$ -equivariant refinement of the lattice homotopy type for Seifert homology 3-spheres equipped with the Seifert $Z_{p}$ -action. We const…

math.GT2025

Smooth concordance of cables of the figure-eight knot

Sungkyung Kang, JungHwan Park, Masaki Taniguchi

We prove that every nontrivial cable of the figure-eight knot has infinite order in the smooth knot concordance group. Our main contribution is a uniform proof that applies to all…

math.GT2025

A satellite formula for real Seiberg-Witten Floer homotopy types

Jin Miyazawa, JungHwan Park, Masaki Taniguchi

We establish a satellite formula for the real Seiberg-Witten Floer homotopy types of knots with odd patterns. Using this, we derive several applications to knot concordance theory.…

math.GT2025

On the connected sums of the $(2, 1)$ -cable of the figure eight knot

Yoshihiro Fukumoto, Masaki Taniguchi

We show that the 3-fold (resp. 6-fold) connected sum of the $(2, 1)$ -cable of the figure-eight knot cannot bound a smooth null-homologous disk in a punctured $S^{2} \times S^{2}$ (resp.…

Equivariant lattice homology for Seifert homology 3-spheres

Smooth concordance of cables of the figure-eight knot

A satellite formula for real Seiberg-Witten Floer homotopy types

On the connected sums of the (2,1)-cable of the figure eight knot

On the connected sums of the $(2, 1)$ -cable of the figure eight knot