Nobuo Iida

collaborators

4 papers

math.SG2026

Stein structures not determined by the contact boundary

Nobuo Iida

We construct two Stein structures on the same compact smooth four-manifold whose boundary contact forms are strictly identified and whose first Chern classes agree, but whose exact…

math.GT2026

Bennequin-Plamenevskaya-Shumakovitch type inequalities for Kronheimer-Mrowka's concordance invariant

Nobuo Iida

We give Bennequin-Plamenevskaya-Shumakovich type lower bounds for the concordance invariant $s^{#}$ introduced by Kronheimer and Mrowka. The proof is a consequence of computations…

math.GT2025

The pretzel knot $P (4, - 3, 5)$ is not squeezed

Nobuo Iida, Tatsumasa Suzuki

We prove that an infinite family of three-strand pretzel knots is not squeezed. In particular, we show that $P (4, - 3, 5)$ is not squeezed. This answers a question posed by Lewark (…

math.GT2025

On the slice-torus invariant $q_{M}$ from $Z_{2}$ -equivariant Seiberg--Witten Floer cohomology

Nobuo Iida, Taketo Sano, Kouki Sato +1

We show that Iida--Taniguchi's $Z$ -valued slice-torus invariant $q_{M}$ cannot be realized as a linear combination of Rasmussen's $s$ -invariant, OzsvÃ¡th--SzabÃ³'s $I ¨ $ -inva…

Stein structures not determined by the contact boundary

Bennequin-Plamenevskaya-Shumakovitch type inequalities for Kronheimer-Mrowka's concordance invariant

The pretzel knot P(4,−3,5) is not squeezed

On the slice-torus invariant qM​ from Z2​-equivariant Seiberg--Witten Floer cohomology

The pretzel knot $P (4, - 3, 5)$ is not squeezed

On the slice-torus invariant $q_{M}$ from $Z_{2}$ -equivariant Seiberg--Witten Floer cohomology