3 citations · 5 across the 4 of their papers we have counts for
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An analogue of the space of conformal blocks in (4k+2)-dimensions
Kiyonori Gomi
Based on projective representations of smooth Deligne cohomology groups, we introduce an analogue of the space of conformal blocks to compact oriented (4k+2)-dimensional Riemannian…
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…