Results 11 to 20 of about 12,500,002 (282)

Isotropy in Group Cohomology [PDF]

open access: yesBulletin of the London Mathematical Society, 2013
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]

open access: yesForum of Mathematics, Sigma, 2020
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]

open access: bronzeTransactions of the American Mathematical Society, 1953
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]

open access: bronzeTransactions of the American Mathematical Society, 1963
Leonard S. Charlap, A. T. Vasquez
openalex   +5 more sources

Cohomology of Lie groups [PDF]

open access: bronzeIllinois Journal of Mathematics, 1962
G. Hochschild, G. D. Mostow
openalex   +4 more sources

The cohomology of the symmetric groups [PDF]

open access: bronzeTransactions of the American Mathematical Society, 1978
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
  +4 more sources

ON THE COHOMOLOGY OF TORELLI GROUPS [PDF]

open access: yesForum of Mathematics, Pi, 2020
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

open access: yesMathematische Nachrichten, Volume 296, Issue 1, Page 80-101, January 2023., 2023
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]

open access: yesSahand Communications in Mathematical Analysis, 2020
‎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

Home - About - Disclaimer - Privacy