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math.DG2003
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…
math.DG2003
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…