Results 61 to 70 of about 12,500,002 (282)
The negative side of cohomology for Calabi-Yau categories [PDF]
, 2012 We study integer-graded cohomology rings defined over Calabi-Yau categories. We show that the cohomology in negative degree is a trivial extension of the cohomology ring in non-negative degree, provided the latter admits a regular sequence of central ...
Auslander +12 more
core +1 more source
Dickson invariants, regularity and computation in group cohomology [PDF]
, 2003 In this paper, we investigate the commutative algebra of the cohomology ring $H^*(G,k)$ of a finite group $G$ over a field $k$. We relate the concept of quasi-regular sequence, introduced by Benson and Carlson, to the local cohomology of the cohomology ...
D. Benson
semanticscholar +1 more source
Journal of Algebra, 2015 We added a corrigendum in which we prove a corrected version of Theorem 5.4 from [v2]
M. Dokuchaev, M. Khrypchenko
openaire +3 more sources
A New Cohomology Theory for Orbifold
, 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
A generalization of the cohomology of groups [PDF]
Proceedings of the American Mathematical Society, 1982 Generalizations of the cohomology of finite groups, in which one considers varying families of subgroups, are presented. These groups are shown to relate to Bredon equivariant of homology of universal G-spaces, and to lead to necessary algebraic conditions for G-actions on contractible spaces.
openaire +1 more source
Cohomology of groups with operators [PDF]
Homology, Homotopy and Applications, 2002 Well-known techniques from homological algebra and alge- braic topology allow one to construct a cohomology theory for groups on which the action of a Þxed group is given. After a brief discussion on the modules to be considered as coecients, the Þrst section of this paper is devoted to providing some def- initions for this cohomology theory and then ...
Cegarra, A. M. +2 more
openaire +3 more sources
Deligne-Beilinson cohomology of the universal K3 surface [PDF]
arXiv, 2022 O'Grady's generalized Franchetta conjecture (GFC) is concerned with codimension 2 algebraic cycles on universal polarized K3 surfaces. In \cite{BL17}, this conjecture has been studied in the Betti cohomology groups. Following a suggestion of Voisin, we investigate this problem in the Deligne-Beilinson (DB) cohomology groups.
arxiv
Cohomology of infinite groups realizing fusion systems
, 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]
, 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
First module cohomology group of induced semigroup algebras
Boletim da Sociedade Paranaense de Matemática, 2022 Let $S$ be a discrete semigroup and $T$ be a left multiplier operator on $S$. A new product on $S$ defined by $T$ creates a new induced semigroup $S _{T} $.
Mohammad Reza Miri +2 more
doaj +1 more source