6 papers
Exotic codimension-1 submanifolds in 4-manifolds and stabilizations
Hokuto Konno, Anubhav Mukherjee, Masaki Taniguchi
In a small simply-connected closed 4-manifold, we construct infinitely many pairs of exotic codimension- submanifolds with diffeomorphic complements that remain exotic after any…
Positive scalar curvature and homology cobordism invariants
Hokuto Konno, Masaki Taniguchi
We determine the local equivalence class of the Seiberg-Witten Floer stable homotopy type of a spin rational homology 3-sphere embedded into a spin rational homology $S^{1} \ti…
A note on exotic families of 4-manifolds
Tsuyoshi Kato, Hokuto Konno, Nobuhiro Nakamura
We present a pair of smooth fiber bundles over the circle with a common -dimensional fiber with the following properties: (1) their total spaces are diffeomorphic to each other;…
The groups of diffeomorphisms and homeomorphisms of 4-manifolds with boundary
Hokuto Konno, Masaki Taniguchi
We give constraints on smooth families of 4-manifolds with boundary using Manolescu's Seiberg-Witten Floer stable homotopy type, provided that the fiberwise restrictions of the fam…
Rigidity of the mod 2 families Seiberg-Witten invariants and topology of families of spin 4-manifolds
Tsuyoshi Kato, Hokuto Konno, Nobuhiro Nakamura
We show a rigidity theorem for the Seiberg-Witten invariants mod 2 for families of spin 4-manifolds. A mechanism of this rigidity theorem also gives a family version of 10/8-type i…
A gluing formula for families Seiberg-Witten invariants
David Baraglia, Hokuto Konno
We prove a gluing formula for the families Seiberg-Witten invariants of families of -manifolds obtained by fibrewise connected sum. Our formula expresses the families Seiberg-Wi…