4 citations · 8 across the 12 of their papers we have counts for
14 papers
On Auroux's Luttinger-surgery uniqueness question
Nobuo Iida
We construct simply connected integral symplectic four-manifolds forming an exotic pair, with equal values of , , , and , but with symplec…
The three-dimensional symplectization question for small Seifert L-spaces and further classes
Nobuo Iida
We solve the three-dimensional symplectization question for several examples. These include small Seifert fibered -spaces, a family of Whitehead-link surgery -spaces, $S^1\ti…
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…
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…
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 -invaria…
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…
Rank three instantons, representations and sutures
Aliakbar Daemi, Nobuo Iida, Christopher Scaduto
We show that the knot group of any knot in any integer homology sphere admits a non-abelian representation into such that meridians are mapped to matrices whose eigenvalues…
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…
A note on generalized Thurston--Bennequin inequalities
Nobuo Iida, Hokuto Konno, Masaki Taniguchi
We give a generalized Thurston--Bennequin-type inequality for links in using a Bauer--Furuta-type invariant for 4-manifolds with contact boundary. As a special case, we also…
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…
An adjunction inequality for the Bauer-Furuta type invariants, with applications to sliceness and 4-manifold topology
Nobuo Iida, Anubhav Mukherjee, Masaki Taniguchi
Our main result gives an adjunction inequality for embedded surfaces in certain -manifolds with contact boundary under a non-vanishing assumption on the Bauer--Furuta type invar…
Seiberg-Witten Floer homotopy contact invariant
Nobuo Iida, Masaki Taniguchi
We introduce a Floer homotopy version of the contact invariant introduced by Kronheimer-Mrowka-Ozváth-Szabó. Moreover, we prove a gluing formula relating our invariant with the fir…
A Bauer-Furuta type refinement of Kronheimer-Mrowka's invariant for 4-manifolds with contact boundary
Nobuo Iida
Kronheimer and Mrowka constructed a variant of Seiberg-Witten invariants for a 4-manifold with contact boundary in 1997. Using Furuta's finite dimensional approximation, we ref…