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math.AT2021
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…
math.AT2019
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…
math.AT2009★ 6 cited
Secondary theories for simplicial manifolds and classifying spaces
Marcello Felisatti, Frank Neumann
We define secondary theories and characteristic classes for simplicial smooth manifolds generalizing Karoubi's multiplicative K-theory and multiplicative cohomology groups for smoo…