Results 41 to 50 of about 12,740,858 (240)

On bounded cohomology of amalgamated products of groups

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2004
We investigate the structure of the singular part of the second bounded cohomology group of amalgamated products of groups by constructing an analog of the initial segment of the Mayer-Vietoris exact cohomology sequence for the spaces of pseudocharacters.
Igor V. Erovenko
doaj   +1 more source

Dynamics and the Cohomology of Measured Laminations

open access: yesMathematics, 2016
In this paper, the interconnection between the cohomology of measured group actions and the cohomology of measured laminations is explored, the latter being a generalization of the former for the case of discrete group actions and cocycles evaluated on ...
Carlos Meniño Cotón
doaj   +1 more source

Generalized Bockstein maps and Massey products

open access: yesForum 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

A New Cohomology Theory for Orbifold

open access: yes, 2001
Motivated by orbifold string theory, we introduce orbifold cohomology group for any almost complex orbifold and orbifold Dolbeault cohomology for any complex orbifold.
Baily   +12 more
core   +1 more source

Group cohomology construction of the cohomology of moduli spaces of flat connections on $2$-manifolds [PDF]

open access: yes, 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

Combinatorial integers (m,nj) and Schubert calculus in the integral cohomology ring of infinite smooth flag manifolds

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2006
We discuss the calculation of integral cohomology ring of LG/T and ΩG. First we describe the root system and Weyl group of LG, then we give some homotopy equivalences on the loop groups and homogeneous spaces, and calculate the cohomology ring structures
Cenap Özel, Erol Yilmaz
doaj   +1 more source

Cohomology of infinite groups realizing fusion systems

open access: yes, 2019
Given a fusion system $\mathcal{F}$ defined on a $p$-group $S$, there exist infinite group models, constructed by Leary and Stancu, and Robinson, that realize $\mathcal{F}$. We study these models when $\mathcal{F}$ is a fusion system of a finite group $G$
Gündoğan, Muhammed Said, Yalcin, Ergun
core   +2 more sources

Fourier-space crystallography as group cohomology [PDF]

open access: yes, 2001
We reformulate Fourier-space crystallography in the language of cohomology of groups. Once the problem is understood as a classification of linear functions on the lattice, restricted by a particular group relation and identified by gauge transformation,
D. Rabson, Benji Fisher
semanticscholar   +1 more source

Cohomology and Deformations of Relative Rota–Baxter Operators on Lie-Yamaguti Algebras

open access: yesMathematics
In this paper, we establish the cohomology of relative Rota–Baxter operators on Lie-Yamaguti algebras via the Yamaguti cohomology. Then, we use this type of cohomology to characterize deformations of relative Rota–Baxter operators on Lie-Yamaguti ...
Jia Zhao, Yu Qiao
doaj   +1 more source

Group cohomology of the universal ordinary distribution [PDF]

open access: yes, 1999
For any odd squarefree integer r, we obtain a complete description of the Gra GalQOm r U=Q group cohomology of the universal ordinary distribution Ur in this paper.
Yi Ouyang
semanticscholar   +1 more source

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