In this paper, we consider hypergraphs whose vertices are distinct points moving on a
Riemannian manifold M. We take these hypergraphs as graded submanifolds of the …

We construct and analyse models of equivariant cohomology for differentiable stacks with
Lie group actions extending classical results for smooth manifolds due to Borel, Cartan and …

Generalizing Karoubi's multiplicative K-theory and multiplicative cohomology groups for
smooth manifolds we define secondary theories and characteristic classes for smooth etale …

The real counterpart of relative if-theory (considered in the complex setting in [4]) is
considered here, some direct image under proper submersion is constructed, and a …

In this thesis, we are interested in the study of cohomology of differentiable stacks and we
want to provide a good notion of equivariant cohomology for differentiable stacks. For this …

We show the compatibility of the differential geometric and the topological construction of
equivariant characteristic classes for compact Lie groups. Our analysis motivates a …

In this paper, we consider hypergraphs whose vertices are distinct points moving smoothly
on a Riemannian manifold M. We take these hypergraphs as graded submanifolds of …

We give a construction of cyclic cocycles on convolution algebras twisted by gerbes over
discrete translation groupoids. For proper étale groupoids, Tu and Xu (Adv Math 207 (2) …

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We construct and analyse models of equivariant cohomology for differentiable stacks with
Lie group actions extending classical results for smooth manifolds due to Borel, Cartan and …