Results 121 to 130 of about 40,860 (242)

Abelian extensions of Lie triple systems with derivations

Electronic Research Archive, 2022
Let $ \mathfrak{L} $ and $ A $ be Lie triple systems, and let $ \theta_A $ be a representation of $ \mathfrak{L} $ on $ A. $ We first construct the third-order cohomology classes by derivations of $ A $ and $ \mathfrak{L}, $ then obtain a Lie algebra ...
Xueru Wu, Yao Ma, Liangyun Chen
doaj  

On the computation of coarse cohomology [PDF]

arXiv
The purpose of this article is to relate coarse cohomology of metric spaces with a more computable cohomology. We introduce a notion of boundedly supported cohomology and prove that coarse cohomology of many spaces are isomorphic to the boundedly supported cohomology.
arxiv  

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  

Relative log convergent cohomology and relative rigid cohomology I [PDF]

arXiv, 2007
In this paper, we develop the theory of relative log convergent cohomology. We prove the coherence of relative log convergent cohomology in certain case by using the comparison theorem between relative log convergent cohomlogy and relative log crystalline cohomology, and we relates relative log convergent cohomology to relative rigid cohomology to show
arxiv  

Cohomology theory and different [PDF]

, 1958
Hideo Kuniyoshi
openalex   +1 more source

Cohomological dimension and top local cohomology modules

Rocky Mountain Journal of Mathematics, 2019
Let $R$ be a Noetherian ring, $I$ an ideal of $R$ and $M$ an $R$-module. In this paper, we first determine a condition under which a given integer $t$ is a lower bound for the cohomological dimension $\operatorname {cd}(I,M)$, and use this to conclude that non-catenary Noetherian domains contain prime ideals that are not set-theoretic complete ...
Erdoğdu, Vahap, Yıldırım, Tuğba
openaire   +4 more sources

A Hodge-type decomposition of holomorphic Poisson cohomology on nilmanifolds

Complex Manifolds, 2017
A cohomology theory associated to a holomorphic Poisson structure is the hypercohomology of a bicomplex where one of the two operators is the classical მ̄-operator, while the other operator is the adjoint action of the Poisson bivector with respect to ...
Poon Yat Sun, Simanyi John
doaj   +1 more source

Relative log convergent cohomology and relative rigid cohomology II [PDF]

arXiv, 2007
In this paper, we develop the theory of relative log convergent cohomology of radius $\lambda$ ($0 < \lambda \leq 1$), which is a generalization of the notion of relative log convergent cohomology in the previous paper. By comparing this cohomology with relative log crystalline cohomology, relative rigid cohomology and its variants and by using some ...
arxiv  

Relative Cohomology [PDF]

, 1957
D. G. Higman
openalex   +1 more source

First and second cohomology group of a bu ndle

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
Let (E, π, M) be a vector bundle. We define two cohomology groups associated to π using the first and second order jet manifolds of this bundle. We prove that one of them is isomorphic with a Čech cohomology group of the base space.
Manea Adelina
doaj   +1 more source