Results 41 to 50 of about 138,760 (231)
The H\"older-Poincar\'e Duality for $L_{q,p}$-cohomology [PDF]
We prove the following version of Poincare duality for reduced $L_{q,p}$-cohomology: For any ...
G. Carron+25 more
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Stochastic equivariant cohomologies and cyclic cohomology [PDF]
We give two stochastic diffeologies on the free loop space which allow us to define stochastic equivariant cohomology theories in the Chen-Souriau sense and to establish a link with cyclic cohomology. With the second one, we can establish a stochastic fixed point theorem.
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Integration of simplicial forms and Deligne cohomology
We present two approaches to constructing an integration map for smooth Deligne cohomology. The first is defined in the simplicial model, where a class in Deligne cohomology is represented by a simplicial form, and the second in a related but more ...
Deligne Cohomology+5 more
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The cohomological supercharge [PDF]
12 pages, latex, no figures.
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Cohomological Dimension and Schreier's Formula in Galois Cohomology [PDF]
AbstractLet p be a prime and F a field containing a primitive p-th root of unity. Then for n ∈ N, the cohomological dimension of the maximal pro-p-quotient G of the absolute Galois group of F is at most n if and only if the corestriction maps are surjective for all open subgroups H of index p. Using this result, we generalize Schreier's formula for .
John G. Swallow+3 more
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On a Lichnerowicz type cohomology attached to a function
In this paper we define a new cohomology of a smooth manifold called Lichnerowicz type cohomology attached to a function. Firstly, we study some basic properties of this cohomology as: a de Rham type isomorphism, dependence on the function, singular ...
Ida, Cristian
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Deformations and Extensions of Modified λ-Differential 3-Lie Algebras
In this paper, we propose the representation and cohomology of modified λ-differential 3-Lie algebras. As their applications, the linear deformations, abelian extensions and T∗-extensions of modified λ-differential 3-Lie algebras are also studied.
Wen Teng, Hui Zhang
doaj +1 more source
Cohomology of nonabelian embedding tensors on Hom-Lie algebras
In this paper, we generalize known results of nonabelian embedding tensor to the Hom setting. We introduce the concept of Hom-Leibniz-Lie algebra, which is the basic algebraic structure of nonabelian embedded tensors on Hom-Lie algebras and can also be ...
Wen Teng , Jiulin Jin, Yu Zhang
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ON THE COHOMOLOGY OF TORELLI GROUPS [PDF]
We completely describe the algebraic part of the rational cohomology of the Torelli groups of the manifolds$\#^{g}S^{n}\times S^{n}$relative to a disc in a stable range, for$2n\geqslant 6$. Our calculation is also valid for$2n=2$assuming that the rational cohomology groups of these Torelli groups are finite-dimensional in a stable range.
Kupers, Alexander+1 more
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Tate and Tate-Hochschild Cohomology for finite dimensional Hopf Algebras
Let A be any finite dimensional Hopf algebra over a field k. We specify the Tate and Tate-Hochschild cohomology for A and introduce cup products that make them become graded rings. We establish the relationship between these rings.
Nguyen, Van C.
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