-cohomology
J. Eichhorn (1986)
Banach Center Publications
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J. Eichhorn (1986)
Banach Center Publications
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Nicola Pagani (2013)
Annales de l’institut Fourier
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In this work we compute the Chen–Ruan cohomology of the moduli spaces of smooth and stable -pointed curves of genus . In the first part of the paper we study and describe stack theoretically the twisted sectors of and . In the second part, we study the orbifold intersection theory of . We suggest a definition for an orbifold tautological ring in genus , which is a subring of both the Chen–Ruan cohomology and of the stringy Chow ring.
Luc Menichi (2009)
Bulletin de la Société Mathématique de France
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Let be any compact simply-connected oriented -dimensional smooth manifold and let be any field. We show that the Gerstenhaber algebra structure on the Hochschild cohomology on the singular cochains of , , extends to a Batalin-Vilkovisky algebra. Such Batalin-Vilkovisky algebra was conjectured to exist and is expected to be isomorphic to the Batalin-Vilkovisky algebra on the free loop space homology on , introduced by Chas and Sullivan. We also show that the negative cyclic...
Ursula Hamenstädt (2008)
Journal of the European Mathematical Society
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Let be an arbitrary hyperbolic geodesic metric space and let be a countable subgroup of the isometry group of . We show that if is non-elementary and weakly acylindrical (this is a weak properness condition) then the second bounded cohomology groups , are infinite dimensional. Our result holds for example for any subgroup of the mapping class group of a non-exceptional surface of finite type not containing a normal subgroup which virtually splits as a direct...
Natàlia Castellana, Juan Crespo, Jérôme Scherer (2011)
Journal of the European Mathematical Society
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The class of loop spaces of which the mod cohomology is Noetherian is much larger than the class of -compact groups (for which the mod cohomology is required to be finite). It contains Eilenberg–Mac Lane spaces such as and 3-connected covers of compact Lie groups. We study the cohomology of the classifying space of such an object and prove it is as small as expected, that is, comparable to that of . We also show that X differs basically from the classifying space of a -compact...
Baptiste Calmès, Viktor Petrov, Kirill Zainoulline (2013)
Annales scientifiques de l'École Normale Supérieure
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Let be a split semisimple linear algebraic group over a field and let be a split maximal torus of . Let be an oriented cohomology (algebraic cobordism, connective -theory, Chow groups, Grothendieck’s , etc.) with formal group law . We construct a ring from and the characters of , that we call a formal group ring, and we define a characteristic ring morphism from this formal group ring to where is the variety of Borel subgroups of . Our main result says that when the...
Ali Atazadeh, Monireh Sedghi, Reza Naghipour (2015)
Colloquium Mathematicae
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Let denote an ideal in a Noetherian ring R, and M a finitely generated R-module. We introduce the concept of the cohomological dimension filtration , where c = cd(,M) and denotes the largest submodule of M such that . Some properties of this filtration are investigated. In particular, if (R,) is local and c = dim M, we are able to determine the annihilator of the top local cohomology module , namely . As a consequence, there exists an ideal of R such that . This generalizes the...
Boujemaa Agrebaoui, Raja Hattab (2016)
Czechoslovak Mathematical Journal
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The relative cohomology of the contact Lie superalgebra with coefficients in the space of differential operators acting on tensor densities on , is calculated in N. Ben Fraj, I. Laraied, S. Omri (2013) and the generating -cocycles are expressed in terms of the infinitesimal super-Schwarzian derivative -cocycle , which is invariant with respect to the conformal subsuperalgebra of . In this work we study the supergroup case. We give an explicit construction of -cocycles...
Piotr Nowak (2015)
Journal of the European Mathematical Society
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The aim of this paper is to extend the framework of the spectral method for proving property (T) to the class of reflexive Banach spaces and present a condition implying that every affine isometric action of a given group on a reflexive Banach space has a fixed point. This last property is a strong version of Kazhdan’s property (T) and is equivalent to the fact that for every isometric representation of on . The condition is expressed in terms of -Poincaré constants and we...
Ali Fathi (2022)
Czechoslovak Mathematical Journal
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Let be an ideal of a commutative Noetherian ring and be a nonnegative integer. Let and be two finitely generated -modules. In certain cases, we give some bounds under inclusion for the annihilators of and in terms of minimal primary decomposition of the zero submodule of , which are independent of the choice of minimal primary decomposition. Then, by using those bounds, we compute the annihilators of local cohomology and Ext modules in certain cases.
Jordan Franks, Alain Valette (2014)
Annales mathématiques Blaise Pascal
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For a normalized positive definite function on a locally compact abelian group , let be the unitary representation associated to by the GNS construction. We give necessary and sufficient conditions for the vanishing of 1-cohomology and reduced 1-cohomology . For example, if and only if either or , where is the trivial character of and is the probability measure on the Pontryagin dual associated to by Bochner’s Theorem. This streamlines an argument of Guichardet...
Marzieh Hatamkhani, Hajar Roshan-Shekalgourabi (2022)
Czechoslovak Mathematical Journal
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Let be a commutative Noetherian ring, an ideal of and an -module. We wish to investigate the relation between vanishing, finiteness, Artinianness, minimaxness and -minimaxness of local cohomology modules. We show that if is a minimax -module, then the local-global principle is valid for minimaxness of local cohomology modules. This implies that if is a nonnegative integer such that is a minimax -module for all and for all , then the set is finite. Also, if is...
Adam Mohamed (2014)
Publications mathématiques de Besançon
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Let be an imaginary quadratic field and its ring of integers. Let be a non-zero ideal and let be a rational inert prime in and coprime with . Let be an irreducible finite dimensional representation of . We establish that a system of Hecke eigenvalues appearing in the cohomology with coefficients in already lives in the cohomology with coefficients in for some ; except possibly in some few cases.
G. Denham, H. Schenck, M. Schulze, M. Wakefield, U. Walther (2013)
Annales de l’institut Fourier
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Let be a divisor on a smooth algebraic variety . We investigate the geometry of the Jacobian scheme of , homological invariants derived from logarithmic differential forms along , and their relationship with the property that be a free divisor. We consider arrangements of hyperplanes as a source of examples and counterexamples. In particular, we make a complete calculation of the local cohomology of logarithmic forms of generic hyperplane arrangements.
Yves Félix, Jean-Claude Thomas (2008)
Bulletin de la Société Mathématique de France
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Let be a 1-connected closed manifold of dimension and be the space of free loops on . M.Chas and D.Sullivan defined a structure of BV-algebra on the singular homology of , . When the ring of coefficients is a field of characteristic zero, we prove that there exists a BV-algebra structure on the Hochschild cohomology which extends the canonical structure of Gerstenhaber algebra. We construct then an isomorphism of BV-algebras between and the shifted homology . We also prove...
J. Asadollahi, K. Khashyarmanesh, Sh. Salarian (2001)
Colloquium Mathematicae
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Let A be a Noetherian ring, let M be a finitely generated A-module and let Φ be a system of ideals of A. We prove that, for any ideal in Φ, if, for every prime ideal of A, there exists an integer k(), depending on , such that kills the general local cohomology module for every integer j less than a fixed integer n, where , then there exists an integer k such that for every j < n.
Antoine Touzé (2012)
Annales scientifiques de l'École Normale Supérieure
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We develop a new approach of extension calculus in the category of strict polynomial functors, based on Troesch complexes. We obtain new short elementary proofs of numerous classical -computations as well as new results. In particular, we get a cohomological version of the “fundamental theorems” from classical invariant theory for for big enough (and we give a conjecture for smaller values of ). We also study the “twisting spectral sequence” converging to the extension groups...
Jörg Eschmeier (2008)
Studia Mathematica
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Let T ∈ L(E)ⁿ be a commuting tuple of bounded linear operators on a complex Banach space E and let be the non-essential spectrum of T. We show that, for each connected component M of the manifold of all smooth points of , there is a number p ∈ 0, ..., n such that, for each point z ∈ M, the dimensions of the cohomology groups grow at least like the sequence with d = dim M.
Philippe Bonnet (2003)
Bulletin de la Société Mathématique de France
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Let be a polynomial dominating map from to . We study the quotient of polynomial 1-forms that are exact along the generic fibres of , by 1-forms of type , where are polynomials. We prove that is always a torsion -module. Then we determine under which conditions on we have . As an application, we study the behaviour of a class of algebraic -actions on , and determine in particular when these actions are trivial.
Amit Hogadi, Supriya Pisolkar (2013)
Acta Arithmetica
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Let L/K be a finite Galois extension of complete discrete valued fields of characteristic p. Assume that the induced residue field extension is separable. For an integer n ≥ 0, let denote the ring of Witt vectors of length n with coefficients in . We show that the proabelian group is zero. This is an equicharacteristic analogue of Hesselholt’s conjecture, which was proved before when the discrete valued fields are of mixed characteristic.
Nikita A. Karpenko, Alexander S. Merkurjev (2013)
Annales scientifiques de l'École Normale Supérieure
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Let be a prime integer and a field of characteristic . Let be theof a symbol in the Galois cohomology group (for some ), constructed in the proof of the Bloch-Kato conjecture. The main result of the paper affirms that the function field has the following property: for any equidimensional variety , the change of field homomorphism of Chow groups with coefficients in integers localized at is surjective in codimensions . One of the main ingredients of the proof is a computation...
Kevin P. Knudson (2002)
Fundamenta Mathematicae
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We prove that if k is a finite field with elements, then the natural map is an isomorphism for 0 ≤ i < d(p-1) and for all n.