Results 11 to 20 of about 12,500,002 (282)
Isotropy in Group Cohomology [PDF]
The analogue of Lagrangians for symplectic forms over finite groups is studied, motivated by the fact that symplectic G-forms with a normal Lagrangian ...
David, Nir Ben+2 more
core +7 more sources
The cohomology of Torelli groups is algebraic [PDF]
The Torelli group of $W_g = \#^g S^n \times S^n$ is the group of diffeomorphisms of $W_g$ fixing a disc that act trivially on $H_n(W_g;\mathbb{Z} )$ .
Alexander Kupers, Oscar Randal-Williams
doaj +4 more sources
Cohomology of Group Extensions [PDF]
This method is based on the Cartan-Leray spectral sequence, [3; 1 ], and can be generalized to other algebraic situations, as will be shown in a forthcoming paper of Cartan-Eilenberg [2]. Since the details of the Cartan-Leray technique have not been published (other than in seminar notes of limited circulation), we develop them in Chapter I.
G. Hochschild, J-P. Serre
openalex +3 more sources
The cohomology of group extensions [PDF]
Leonard S. Charlap, A. T. Vasquez
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Cohomology of Lie groups [PDF]
G. Hochschild, G. D. Mostow
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The cohomology of the symmetric groups [PDF]
Let S n {{\mathcal {S}}_n} be the symmetric group on n letters and SG the limit of the sets of degree +1 homotopy equivalences of the n − 1 n - 1 sphere. Let p be an odd prime.
Benjamin M. Mann
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L2-Cohomology and group cohomology
J. Cheeger, M. Gromov
semanticscholar +3 more sources
ON THE COHOMOLOGY OF TORELLI GROUPS [PDF]
We completely describe the algebraic part of the rational cohomology of the Torelli groups of the manifolds$\#^{g}S^{n}\times S^{n}$relative to a disc in a stable range, for$2n\geqslant 6$. Our calculation is also valid for$2n=2$assuming that the rational cohomology groups of these Torelli groups are finite-dimensional in a stable range.
Kupers, Alexander+1 more
openaire +4 more sources
Cohomology of moduli spaces of Del Pezzo surfaces
Abstract We compute the rational Betti cohomology groups of the coarse moduli spaces of geometrically marked Del Pezzo surfaces of degree 3 and 4 as representations of the Weyl groups of the corresponding root systems. The proof uses a blend of methods from point counting over finite fields and techniques from arrangement complements.
Olof Bergvall, Frank Gounelas
wiley +1 more source
First and Second Module Cohomology Groups for Non Commutative Semigroup Algebras [PDF]
Let $S$ be a (not necessarily commutative) Clifford semigroup with idempotent set $E$. In this paper, we show that the first (second) Hochschild cohomology group and the first (second) module cohomology group of semigroup algbera $\ell^1(S)$ with ...
Ebrahim Nasrabadi
doaj +1 more source