11 citations · 30 across the 5 of their papers we have counts for
5 papers
Topological Structures of Large Scale Interacting Systems via Uniform Functions and Forms
Kenichi Bannai, Yukio Kametani, Makiko Sasada
In this article, we investigate the topological structure of large scale interacting systems on infinite graphs, by constructing a suitable cohomology which we call the uniform coh…
Spin structures and the divisibility of Euler classes
Yukio Kametani
In this short article we give a geometric meaning of the divisibility of -theoretical Euler classes for given two spin modules. We are motivated by Furuta's 10/8-inequality for…
Homotopy theoretical considerations of the Bauer-Furuta stable homotopy Seiberg-Witten invariants
Mikio Furuta, Yukio Kametani, Hirofumi Matsue +1
We show the "non-existence" results are essential for all the previous known applications of the Bauer-Furuta stable homotopy Seiberg-Witten invariants. As an example, we present a…
Nilpotency of the Bauer-Furuta stable homotopy Seiberg-Witten invariants
Mikio Furuta, Yukio Kametani, Norihiko Minami
We prove a nilpotency theorem for the Bauer-Furuta stable homotopy Seiberg-Witten invariants for smooth closed 4-manifolds with trivial first Betti number.
Equivariant maps between sphere bundles over tori and KO-degree
M. Furuta, Y. Kametani
We show a non-existence result for some class of equivariant maps between sphere bundles over tori. The notion of equivariant KO-degree is used in the proof. As an application to S…