Results 21 to 30 of about 133,631 (232)
Cohomological finiteness conditions in Bredon cohomology [PDF]
We show that any soluble group $G$ of type Bredon-$\FP_{\infty}$ with respect to the family of all virtually cyclic subgroups such that centralizers of infinite order elements are of type $\FP_{\infty}$ must be virtually cyclic. To prove this, we first reduce the problem to the case of polycyclic groups and then we show that a polycyclic-by-finite ...
Kochloukova, D.H.+2 more
openaire +5 more sources
On Rham cohomology of locally trivial Lie groupoids over triangulated manifolds
Based on the isomorphism between Lie algebroid cohomology and piecewise smooth cohomology of a transitive Lie algebroid, it is proved that the Rham cohomology of a locally trivial Lie groupoid G on a smooth manifold M is isomorphic to the piecewise Rham ...
Jose R. Oliveira
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Splitting Extensions of Nonassociative Algebras and Modules with Metagroup Relations
A class of nonassociative algebras is investigated with mild relations induced from metagroup structures. Modules over nonassociative algebras are studied. For a class of modules over nonassociative algebras, their extensions and splitting extensions are
Sergey Victor Ludkowski
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Satellites of Functors for Nonassociative Algebras with Metagroup Relations
The article is devoted to non-associative algebras with metagroup relations and modules over them. Their functors are studied. Satellites of functors are scrutinized. An exactness of satellite sequences and diagrams is investigated.
Sergey Victor Ludkowski
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Cheeger-Simons differential characters with compact support and Pontryagin duality [PDF]
By adapting the Cheeger-Simons approach to differential cohomology, we establish a notion of differential cohomology with compact support. We show that it is functorial with respect to open embeddings and that it fits into a natural diagram of exact ...
Becker, Christian+3 more
core +3 more sources
THE INTEGRAL COHOMOLOGY OF THE HILBERT SCHEME OF TWO POINTS
The Hilbert scheme $X^{[a]}$ of points on a complex manifold $X$
BURT TOTARO
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On a cohomology of digraphs and Hochschild cohomology [PDF]
We use a differential form cohomology theory on transitive digraphs to give a new proof of a theorem of Gerstenhaber and Schack about isomorphism between simplicial cohomology and Hochschild cohomology of a certain algebra associated with the simplicial complex.
Shing-Tung Yau+2 more
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A Cohomology Theory for Commutative Monoids
Extending Eilenberg–Mac Lane’s cohomology of abelian groups, a cohomology theory is introduced for commutative monoids. The cohomology groups in this theory agree with the pre-existing ones by Grillet in low dimensions, but they differ beyond dimension ...
María Calvo-Cervera, Antonio M. Cegarra
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Cohomologies of n-Lie Algebras with Derivations
The goal of this paper is to study cohomological theory of n-Lie algebras with derivations. We define the representation of an n-LieDer pair and consider its cohomology.
Qinxiu Sun, Zhixiang Wu
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