34 citations · 111 across the 13 of their papers we have counts for
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math.DG2000★ 23 cited
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★ 34 cited
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…
math.DG1998★ 6 cited
The outer derivation of a complex Poisson manifold
Jean-Luc Brylinski, Gregg Zuckerman
We introduce a canonical outer vector field on a Poisson manifold, also due independently to A. Weinstein. We view it as a global section of the sheaf of Poisson vector fields modu…