Results 51 to 60 of about 12,500,002 (282)
Equivariant cohomology distinguishes toric manifolds [PDF]
, 2007 The equivariant cohomology of a space with a group action is not only a ring but also an algebra over the cohomology ring of the classifying space of the acting group. We prove that toric manifolds (i.e.
Masuda, Mikiya
core +2 more sources
On the cohomology of tori over local fields with perfect residue field [PDF]
, 2015 If T is an algebraic torus defined over a discretely valued field K with perfect residue field k, we relate the K-cohomology of T to the k-cohomology of certain objects associated to T.
Bertapelle, Alessandra +1 more
core +1 more source
Transactions of the American Mathematical Society, 1970 Let G be a group of Mobius transformations and V the space of com- plex polynomials of degree < some fixed even integer. Using the action of G on V defined by Eichler, we compute the dimension of the cohomology space H'(G, V), first for G an arbitrary F-group (a generalization of Fuchsian group) and then for the free product of finitely many F-groups ...
openaire +1 more source
The eleventh cohomology group of $\overline {\mathcal {M}}_{g,n}$
Forum of Mathematics, Sigma, 2023 We prove that the rational cohomology group $H^{11}(\overline {\mathcal {M}}_{g,n})$ vanishes unless $g = 1$ and $n \geq 11$ . We show furthermore that $H^k(\overline {\mathcal {M}}_{g,n})$ is pure Hodge–Tate for all even ...
Samir Canning, Hannah Larson, Sam Payne
doaj +1 more source
Hasse invariant and group cohomology [PDF]
Documenta Mathematica, 2002 Let p be a prime number. The Hasse invariant is a modular form modulo p that is often used to produce congruences between modular forms of different weights.
B. Edixhoven, C. Khare
semanticscholar +1 more source
Substitutions with Vanishing Rotationally Invariant First Cohomology
Discrete Dynamics in Nature and Society, 2012 The cohomology groups of tiling spaces with three-fold and nine-fold symmetries are obtained. The substitution tilings are characterized by the fact that they have vanishing first cohomology group in the space of tilings modulo a rotation.
Juan García Escudero
doaj +1 more source
Central theorems for cohomologies of certain solvable groups [PDF]
, 2015 We show that the group cohomology of torsion-free virtually polycyclic groups and the continuous cohomology of simply connected solvable Lie groups can be computed by the rational cohomology of algebraic groups. Our results are generalizations of certian
Kasuya, Hisashi
core +1 more source
Group cohomology construction of the cohomology of moduli spaces of flat connections on $2$-manifolds [PDF]
, 1994 We use group cohomology and the de Rham complex on simplicial manifolds to give explicit differential forms representing generators of the cohomology rings of moduli spaces of representations of fundamental groups of 2-manifolds.
L. Jeffrey
semanticscholar +1 more source
Generalized Bockstein maps and Massey products
Forum of Mathematics, Sigma, 2023 Given a profinite group G of finite p-cohomological dimension and a pro-p quotient H of G by a closed normal subgroup N, we study the filtration on the Iwasawa cohomology of N by powers of the augmentation ideal in the group algebra of H.
Yeuk Hay Joshua Lam +4 more
doaj +1 more source
Symmetric Hochschild cohomology of twisted group algebras [PDF]
arXiv, 2021 We show that there is an action of the symmetric group on the Hochschild cochain complex of a twisted group algebra with coefficients in a bimodule. This allows us to define the symmetric Hochschild cohomology of twisted group algebras, similarly to th construction of symmetric group cohomology due to Staic.
arxiv