28 citations · 53 across the 12 of their papers we have counts for
17 papers
Preludes to the Eilenberg-Moore and the Leray-Serre spectral sequences
Frank Neumann, Markus Szymik
The Leray-Serre and the Eilenberg-Moore spectral sequences are fundamental tools for computing the cohomology of a group or, more generally, of a space. We describe the relationshi…
Connections on Lie groupoids and Chern-Weil theory
Indranil Biswas, Saikat Chatterjee, Praphulla Koushik +1
Let be a Lie groupoid equipped with a connection, given by a smooth distribution transversal to the fibers of th…
Atiyah sequences and connections on principal bundles over differentiable stacks
Indranil Biswas, Saikat Chatterjee, Praphulla Koushik +1
We construct and study general connections on Lie groupoids and differentiable stacks as well as on principal bundles over them using Atiyah sequences associated to transversal tan…
Gabriel-Zisman Cohomology and spectral sequences
Imma Gálvez-Carrillo, Frank Neumann, Andrew Tonks
Extending constructions by Gabriel and Zisman, we develop a functorial framework for the cohomology and homology of simplicial sets with very general coefficient systems given by f…
Equivariant cohomology for differentiable stacks
Luis Alejandro Barbosa-Torres, Frank Neumann
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…
On the number of rational points of classifying stacks for Chevalley group schemes
Scott Balchin, Frank Neumann
We compute the number of rational points of classifying stacks of Chevalley group schemes using the Lefschetz-Grothendieck trace formula of Behrend for -adic cohomology of al…