7 citations · 31 across the 15 of their papers we have counts for
15 papers
Upper bounds for virtual dimensions of Seiberg-Witten moduli spaces
Tsuyoshi Kato, Daisuke Kishimoto, Nobuhiro Nakamura +1
Given a closed four-manifold with and a prime number , we prove that for any mod basic class, the virtual dimension of the Seiberg-Witten moduli space is bounded a…
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 simple type conjecture for mod 2 Seiberg-Witten invariants
Tsuyoshi Kato, Nobuhiro Nakamura, Kouichi Yasui
We prove that, under a simple condition on the cohomology ring, every closed 4-manifold has mod 2 Seiberg-Witten simple type. This result shows that there exists a large class of t…
Constraints on families of smooth 4-manifolds from -monopole
Hokuto Konno, Nobuhiro Nakamura
Using the Seiberg-Witten monopole equations, Baraglia recently proved that for most of simply-connected closed smooth -manifolds , the inclusions $\mathrm{Diff}(X) \hookright…
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…
Real structures and the -monopole equations
Nobuhiro Nakamura
We investigate the -monopole invariants of symplectic -manifolds and Kähler surfaces with real structures. We prove the nonvanishing theorem for real symplect…