Masaki Taniguchi

collaborators

3 papers

math.GT2025

Exotic diffeomorphisms on a contractible 4-manifold surviving two stabilizations

Sungkyung Kang, JungHwan Park, Masaki Taniguchi

We develop a $Pin (2) \times Z_{2}$ -equivariant refinement of the lattice homotopy type for computing equivariant Seiberg--Witten Floer homotopy types. As an applica…

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.…

math.GT2024

Exotic Dehn twists and homotopy coherent group actions

Sungkyung Kang, JungHwan Park, Masaki Taniguchi

We consider the question of extending a smooth homotopy coherent finite cyclic group action on the boundary of a smooth 4-manifold to its interior. As a result, we prove that Dehn…

Exotic diffeomorphisms on a contractible 4-manifold surviving two stabilizations

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

Exotic Dehn twists and homotopy coherent group actions

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