1 citations · 2 across the 5 of their papers we have counts for
5 papers
The Entire Cyclic Cohomology of Noncommutative 3-Spheres
Katsutoshi Naito, Hiroshi Takai
In this paper, we compute the entire cyclic cohomology of noncommutative 3-spheres. First of all, we verify the Mayer-Vietoris exact sequence of entire cyclic cohomology in the fra…
Moduli Spaces of Instantons on Noncommutative 4-Manifolds
Hiroshi Takai
Studied are moduli spaces of self dual or anti-self dual connections on noncommutative 4-manifolds, especially deformation quantization of compact spin Riemannian 4-manifolds and t…
A Duality for Yang-Mills Moduli Spaces on Noncommutative Manifolds
Hiroshi Takai
Studied are the moduli spaces of Yang-Mills connections on finitely generated projective modules associated with noncommutative flows. It is actually shown that they are homeomorph…
Yang-Mills Theory for Noncommutative Flows Addendum
Hiroshi Takai
This supplementary manuscript is to describe an important nontrivial example, which appears in the matrix model of type IIB in the super string theory in order to apply a new duali…
Yang-Mills Theory for Noncommutative Flows
Hiroshi Takai
Shown is a new duality for the moduli spaces of Yang-Mills connections over noncommutative vector bundles, using which one sees that total data of quantum field theory are preserve…