the de Rham cohomology
On a relation between de Rham cohomology of $H^1 {(f)}(R)$ and the Koszul cohomology of $\partial(f)
... the de Rham complex K(∂; N ). Notice that the de Rham cohomology modules H ∗ (∂; N ) are in general only graded K-vector ...the de Rham cohomology modules H ∗ (∂; H ...
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A construction of semi infinite de Rham cohomology
... Our aim is to construct the vector spaces ASiX for a certain type of infinite dimensional vector space X and to define the contraction map t\ on X* 0 ASiX, These definitions mirror those[r] ...
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On approximations of the de Rham complex and their cohomology
... its de Rham cohomology is an important invariant of R ...of de Rham-like complexes is introduced where the first member of the chain is the de Rham ...the de ...
21
Generalisations and applications of the Clark Ocone formula
... 2 de Rham cohomology, we have explored a few different techniques of formulating them in more general settings, especially where there is no natural concept of time, nor any intrinsically defined ...
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Cohomology of the categorical at zero semigroups
... The 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 semigroups. This theory was applied also to studying ...
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Holomorphic automorphic forms and cohomology
... ated by the Fourier coefficients of the cusp form; for the ratios of the odd periods the same holds. The cocycles are present in the background, for instance in the period relations. So apart from the Fourier ...
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The ?2 cohomology of hyperplane complements
... cohomology of the universal cover of the Salvetti complex associated to an arbitrary Artin group (as well as a formula for the cohomology of the Sal- vetti complex with generic, 1-dimensional local ...
11
Serre Subcategories and Local Cohomology Modules with Respect to a Pair of Ideals
... One can see that the subcategories of finitely generated R-modules, mini- max R-modules, minimax and (I, J)-cofinite R-modules, weakly Laskerian R- modules, and Matlis reflexive R-modules are examples of Serre ...
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A Note on Artinianess of Certain Generalized
... In this note, we show that under some assumption, generalized local cohomology modules are Artinian. Throughout this paper R and R 0 are two commutative Noetherian rings such that R 0 is local with maximal ideal m ...
8
Heterotic Chen-Ruan Cohomology
... Our next definition is that of the inertia stack. It is necessary for the construction of the Grothendieck-Riemann-Roch theorem for stacks. It naturally arises in the index theory of orbifolds and its cohomology ...
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The support of local cohomology modules
... Local cohomology is a powerful tool introduced by Alexander Grothendieck in the 1960’s ([Har67]) and it has since yielded many geometric and al- gebraic ...local cohomology modules H i I (−) (i ≥ 0) arise ...
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Cohomology of Absolute Galois Groups
... forms. Thus, one has to find an “odd substitute” of a quaternionic pairing. (Indeed, quaternionic pairings were developed as a tool for studying abstract Witt rings.) The first attempts to use the cup prod- uct in Galois ...
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ON INVERSE CATEGORIES AND TRANSFER IN COHOMOLOGY
... It follows from methods of B. Steinberg [22], extended to inverse categories, that finite inverse category algebras are isomorphic to their associated groupoid algebras; in particular, they are symmetric algebras with ...
22
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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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 ...
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On the Castelnuovo-Mumford regularity of the cohomology of fusion systems and of the Hochschild cohomology of block algebras
... Symonds’ proof of Benson’s regularity conjecture implies that the regularity of the cohomology of a fusion system and that of the Hochschild cohomology of a p-block of a finite group is at most zero. Using ...
8
A Comparison of p adic Motivic Cohomology and Rigid Cohomology
... motivic cohomology, motivic cohomology with compact support, Borel-Moore motivic homology, and motivic ...motivic cohomology theories to general ...motivic cohomology and Borel-Moore homology ...
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Tensor Centric Warfare V: Topology of Systems Confrontation
... The non-equilibrium phase transitions occurring at the battlefield at various stages of warfare, can be superficially characterized by sudden entropy growth. However, these rapid changes of the systems-battlespace always ...
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The de Rham theorem for the noncommutative complex of Cenkl and Porter
... have cohomology operations, Karoubi [11] proposed enlarging the de Rham complex of commutative forms by considering noncommutative algebras (along the lines of ...noncommutative de Rham ...
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A TWISTED NONABELIAN HODGE CORRESPONDENCE Alberto Garc´ıa-Raboso
... The higher homotopical tools that we review in section 3 have a two-fold objective. On one hand, they allow us to give a completely cover- and cocycle-free formulation of our problem. On the other, viewing the gerbes of ...
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