Cohomology Relations in Spaces with a Topological Transformation Group [PDF]
, 1953 Sze-Tsen Hu
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A remark on the rational cohomology of $\bar{S}_{1,n}$ [PDF]
arXiv, 2008 We focus on the rational cohomology of Cornalba's moduli space of spin curves of genus 1 with $n$ marked points. In particular, we show that both its first and its third cohomology group vanish and the second cohomology group is generated by boundary classes.
arxiv
Nonabelian embedding tensors on 3-Lie algebras and 3-Leibniz-Lie algebras
Electronic Research ArchiveThe purpose of this paper is to study nonabelian embedding tensors on 3-Lie algebras, and to explore the fundamental algebraic structures, cohomology and deformations associated with them.
Wen Teng, Xiansheng Dai
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On the cohomology of exact sequences of compact groups [PDF]
, 1962 Sufian Y. Husseini
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Cohomological finiteness conditions for Mackey and cohomological Mackey functors [PDF]
arXiv, 2013 We study cohomological finiteness conditions for groups associated to Mackey and cohomological Mackey functors, proving that the cohomological dimension associated to cohomological Mackey functors is always equal to the $\mathcal{F}$-cohomological dimension, and characterising the conditions Mackey-$\mathrm{FP}_n$ and cohomological Mackey-$\mathrm{FP ...
arxiv
On the three-dimensional cohomology group of Lie algebras. [PDF]
, 1953 Mitsuya Mori
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On the second cohomology group of a simplicial group [PDF]
Homology, Homotopy and Applications, 2010 We give an algebraic proof for the result of Eilenberg and Mac Lane that the second cohomology group of a simplicial group G can be computed as a quotient of a fibre product involving the first two homotopy groups and the first Postnikov invariant of G. Our main tool is the theory of crossed module extensions of groups.
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On the Duflot filtration for equivariant cohomology rings and applications to group cohomology [PDF]
arXiv, 2017 We study the Duflot filtration on the Borel equivariant cohomology of smooth manifolds with a smooth $p$-torus action. We axiomatize the filtration and prove analog of several structural results about equivariant cohomology rings in this setting. We apply this abstract theory to study the $\mathbb{F}_p$ cohomology rings of classifying spaces of compact
arxiv
Lie Group Cohomology and (Multi)Symplectic Integrators: New Geometric Tools for Lie Group Machine Learning Based on Souriau Geometric Statistical Mechanics. [PDF]
Entropy (Basel), 2020 Barbaresco F, Gay-Balmaz F.
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