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math.DG2000
Differentiable Cohomology of Gauge Groups
Jean-Luc Brylinski
We give a definition of differentiable cohomology of a Lie group G (possibly infinite-dimensional) with coefficients in any abelian Lie group. This differentiable cohomology maps b…
math.DG2000
Gerbes on complex reductive Lie groups
Jean-Luc Brylinski
We construct a gerbe over a complex reductive Lie group G attached to an invariant bilinear form on a maximal diagonalizable subalgebra which is Weyl group invariant and satisfies…