7 papers · 1 filter
The three-dimensional symplectization question for overtwisted contact structures
Nobuo Iida
We consider closed connected oriented three-manifolds equipped with positive cooriented contact structures. We prove that a symplectomorphism between their symplectizations forces…
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 introduced by Kronheimer and Mrowka. The proof is a consequence of computations…
The pretzel knot 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 is not squeezed. This answers a question posed by Lewark (…
On the slice-torus invariant from -equivariant Seiberg--Witten Floer cohomology
Nobuo Iida, Taketo Sano, Kouki Sato +1
We show that Iida--Taniguchi's -valued slice-torus invariant cannot be realized as a linear combination of Rasmussen's -invariant, Ozsváth--Szabó's -inva…
Diffeomorphisms of 4-manifolds with boundary and exotic embeddings
Nobuo Iida, Hokuto Konno, Anubhav Mukherjee +1
We define family versions of the invariant of 4-manifolds with contact boundary due to Kronheimer and Mrowka and use these to detect exotic diffeomorphisms of 4-manifolds with boun…
Monopoles and transverse knots
Nobuo Iida, Masaki Taniguchi
We present a framework for studying transverse knots and symplectic surfaces utilizing the Seiberg-Witten monopole equation. Our primary approach involves investigating an equivari…