Equivariant cohomology for differentiable stacks

Differentiable Stacks and Gerbes

We introduce differentiable stacks and explain the relationship with Lie groupoids. Then we study S-bundles and S-gerbes over differentiable stacks. In particular, we establish the relationship between S-gerbes and groupoid S-central extensions. We define connections and curvings for groupoid S-central extensions extending the corresponding notions of Brylinski, Hitchin and Murray for S-gerbes ...

Geometric Quantization and Equivariant Cohomology Geometric Quantization and Equivariant Cohomology

Rigid Cohomology for Algebraic Stacks

Rigid Cohomology for Algebraic Stacks

Cohomology of Algebraic Stacks

Cohomology of Algebraic Stacks