65 citations · 177 across the 24 of their papers we have counts for
24 papers
Notions of simple type for Bauer--Furuta invariants
Tsuyoshi Kato, Daisuke Kishimoto, Nobuhiro Nakamura +1
By extending the notion of simple type for the Seiberg--Witten invariant of a 4-manifold, we introduce notions of BF blowup simple type and BF homogeneous type for the Bauer--Furut…
Corks, exotic 4-manifolds and genus functions
Kouichi Yasui
We prove that every 4-dimensional oriented handlebody without 3- and 4-handles can be modified to admit infinitely many exotic smooth structures, and moreover prove that their genu…
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…
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…
Geometrically simply connected 4-manifolds and stable cohomotopy Seiberg-Witten invariants
Kouichi Yasui
We show that every positive definite closed 4-manifold with and without 1-handles has a vanishing stable cohomotopy Seiberg-Witten invariant, and thus admits no symplecti…
Nonexistence of twists and surgeries generating exotic 4-manifolds
Kouichi Yasui
It is well known that for any exotic pair of simply connected closed oriented 4-manifolds, one is obtained from the other by twisting a compact contractible submanifold via an invo…