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cohomology theory

On the cohomology theory of knot groups

On the cohomology theory of knot groups

... Let ~,K2 be knots whose groups have cohomological Then so does the knot group of the product knot We see that the set of all knots whose groups satisfy our conjecture form a commutative [r] ...

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Sigma-weak amenability of Banach algebras

Sigma-weak amenability of Banach algebras

... The notion of amenable Banach algebra was introduced by B.E. Johnson in [5]. This class of Banach algebras arises naturally out of the cohomology theory for Banach algebras, the algebraic version of which ...

8

On Hom Lie Pseudo Superalgebras

On Hom Lie Pseudo Superalgebras

... the theory of smooth manifolds or of holomorphic functions. The cohomology theory of Lie algebras was developed by Chevalley, Eilenberg and ...

16

Stable and unstable operations in algebraic cobordism

Stable and unstable operations in algebraic cobordism

... oriented cohomology theories (over a field of charac- teristic ...oriented cohomology theory, called algebraic cobordism, and denoted by Ω ∗ ...

64

Tautness and applications of the Alexander Spanier cohomology of K types

Tautness and applications of the Alexander Spanier cohomology of K types

... Alexander-Spanier cohomology theory [17, 18] or in the isomorphictheory of ˇCech [9], if the coefficient group G is topological then either the theory does not take into account the topology on G [9, ...

10

(Co)homology of triassociative algebras

(Co)homology of triassociative algebras

... the cohomology theory constructed in Section 2. The theory of tri- associative algebra deformations is what one would expect from the existing literature on ...

21

Differential cohomology and locally covariant quantum field theory

Differential cohomology and locally covariant quantum field theory

... ential cohomology, focusing both on the abstract approach and the explicit model of Cheeger- Simons differential ...differential cohomology theory to a suitable category of m-dimensional globally ...

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Simplicial cohomology of orbifolds

Simplicial cohomology of orbifolds

... a cohomology theory with coefficients in any local system on ...This cohomology is not an invariant of the underlying (‘coarse’) space, but of the finer orbifold ...this cohomology is the ...

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Co-prolongations of a group extension

Co-prolongations of a group extension

... group cohomology theory [1, 5, ...appropriate cohomology theories (such as Mac Lane cohomology, Hochschild cohomology) (see [4, ...group cohomology to study the prolongation of ...

8

Cohomology of the categorical at zero semigroups

Cohomology of the categorical at zero semigroups

... 0−cohomology theory of semigroups with zero element was intro- duced in the work [7] as a result of investigation devoted to projective representations of ...This theory was applied also to studying ...

16

Vector bundle extensions, sheaf cohomology, and the heterotic standard model

Vector bundle extensions, sheaf cohomology, and the heterotic standard model

... The cohomology groups of the vector bundle, which yield the low energy spectrum, are computed using the Leray spectral sequence and fit the requirements of particle ...relevant cohomology groups and ...

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Revisiting the Computation of Cohomology Classes of the Witt Algebra Using Conformal Field Theory and Aspects of Conformal Algebra

Revisiting the Computation of Cohomology Classes of the Witt Algebra Using Conformal Field Theory and Aspects of Conformal Algebra

... DOI: 10.4236/jamp.2019.73042 574 Journal of Applied Mathematics and Physics In our current approach, in order to study the central extension of the Witt algebra as discussed in section 4, we need to discuss the ...

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Cohomology of flag varieties and the BK-filtration

Cohomology of flag varieties and the BK-filtration

... the cohomology van- ishing condition required for Brylinski’s ...involves cohomology vanishing results for bundles on cotangent bundles of partial flag varieties of ...

77

The prolongation of central extensions

The prolongation of central extensions

... unsolved for the general case. However, a description where the morphism id : A → A in the above diagram is replaced by a homomorphism α : A 0 → A, and A 0 , A are abelian groups, is presented in [8]. In this paper, our ...

11

Three Dimensional Manifolds All of Whose Geodesics Are Closed

Three Dimensional Manifolds All of Whose Geodesics Are Closed

... equivariant cohomology of X models the cohomology of X/G is the sense that for a free action we have H G ∗ (X; R) ∼ = H ∗ (X/G; R) ...Morse Theory analogously to the ordinary ...

44

GKM theory of rationally smooth group embeddings

GKM theory of rationally smooth group embeddings

... GKM theory for equivariant Chow rings ...GKM theory for the equivariant algebraic K -theory of smooth projective ...equivariant cohomology (Chapters 3 and ...

136

Asymptotic hyperfunctions, tempered hyperfunctions, and asymptotic
expansions

Asymptotic hyperfunctions, tempered hyperfunctions, and asymptotic expansions

... the theory of generalized functions, for the asymptotic and tempered hyperfunctions, that is, every asymptotic (tempered) hyperfunction can be rendered by applying a certain di ff erential operator to a continuous ...

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On the Castelnuovo-Mumford regularity of the cohomology of fusion systems and of the Hochschild cohomology of block algebras

On the Castelnuovo-Mumford regularity of the cohomology of fusion systems and of the Hochschild cohomology of block algebras

... Tate cohomology are dual to each other under Tate duality can be deduced from a more general duality for transfer maps on Tate-Hochschild cohomology of symmetric algebras induced by bimodules which are ...

8

Computations of Nambu Poisson cohomologies

Computations of Nambu Poisson cohomologies

... fields preserving Λ modulo the Hamiltonian vector fields, is not of finite dimension. It is interesting to compare the results we have found on these two cohomolo- gies with the ones given in [9] on the computation of the ...

17

On graded centres and block cohomology

On graded centres and block cohomology

... Example 2.8. Let A be an R-algebra which is finitely generated projective as R-module and suppose that A is relatively R-injective as left A-module; this is the case, for instance, if A is symmetric and hence in ...

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