3 citations · 5 across the 4 of their papers we have counts for
7 papers
Differential characters and the Steenrod squares
Kiyonori Gomi
The groups of differential characters of Cheeger and Simons admit a natural multiplicative structure. The map given by the squares of degree 2k differential characters reduces to a…
Reduction of strongly equivariant bundle gerbes with connection and curving
Kiyonori Gomi
From a certain strongly equivariant bundle gerbe with connection and curving over a smooth manifold on which a Lie group acts, we construct under some conditions a bundle gerbe wit…
Relationship between equivariant gerbes and gerbes over the quotient space
Kiyonori Gomi
By means of cohomology groups, we study relationships between equivariant gerbes with connection over a manifold with a Lie group action and gerbes with connection over the quotien…
Equivariant smooth Deligne cohomology
Kiyonori Gomi
On the basis of Brylinski's work, we introduce a notion of equivariant smooth Deligne cohomology group, which is a generalization of both the ordinary smooth Deligne cohomology and…
Connections and curvings on lifting bundle gerbes
Kiyonori Gomi
We construct a connection and a curving on a bundle gerbe associated with lifting a structure group of a principal bundle to a central extension. The construction is based on certa…
Gerbes in classical Chern-Simons theory
Kiyonori Gomi
We construct geometrically a gerbe assigned to a connection on a principal SU(2)-bundle over an oriented closed 1-dimensional manifold. If the connection is given by the restrictio…