4 citations · 5 across the 2 of their papers we have counts for
4 papers · 1 filter
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…
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…
Pseudofree Z/3-actions on K3 surfaces
Ximin Liu, Nobuhiro Nakamura
In this paper, we give a weak classification of locally linear pseudofree actions of the cyclic group of order 3 on a surface, and prove the existence of such an action which…