1. Formules De Localisation En Cohomologie Equivariante
Contents 1 Introduction 2 2 Cohomologie 'equivariante - D'efinitions 7 2.1 D'efinitions : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 7 2.2 Classes de Thom et d'Euler 'equivariantes : : : : : : : : : : : : : : : : : : : 9 3 Proc'ed'e de localisation 11 3.1 Localisation : : : : : : : : : : : : : : : : : : : : : : :...

2. Formules De Localisation En Cohomologie Equivariante
Contents 1 Introduction 2 2 Cohomologie 'equivariante - D'efinitions 7 2.1 D'efinitions : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 7 2.2 Classes de Thom et d'Euler 'equivariantes : : : : : : : : : : : : : : : : : : : 9 3 Proc'ed'e de localisation 11 3.1 Localisation : : : : : : : : : : : : : : : : : : : : : : :...

3. Closedness Of Star Products And Cohomologies
We first review the introduction of star products in connection with deformations of Poisson brackets and the various cohomologies that are related to them. Then we concentrate on what we have called "closed star products" and their relations with cyclic cohomology and index theorems. Finally we shall explain how quantum groups, especially in their recent topological form, are in essence examples of star products. 1. Introduction: Quantization 1.1 Geometry. The setting of classical mechanics in phase-space has long been a source of inspiration for mathematicians. But (according to writing on a wall of the UCLA mathematics department building) Goethe once said that "Mathematicians are like Frenchmen: they translate everything...

4. Closedness Of Star Products And Cohomologies
We first review the introduction of star products in connection with deformations of Poisson brackets and the various cohomologies that are related to them. Then we concentrate on what we have called "closed star products" and their relations with cyclic cohomology and index theorems. Finally we shall explain how quantum groups, especially in their recent topological form, are in essence examples of star products. 1. Introduction: Quantization 1.1 Geometry. The setting of classical mechanics in phase-space has long been a source of inspiration for mathematicians. But (according to writing on a wall of the UCLA mathematics department building) Goethe once said that "Mathematicians are like Frenchmen: they translate everything...

5. Closedness Of Star Products And Cohomologies
We first review the introduction of star products in connection with deformations of Poisson brackets and the various cohomologies that are related to them. Then we concentrate on what we have called "closed star products" and their relations with cyclic cohomology and index theorems. Finally we shall explain how quantum groups, especially in their recent topological form, are in essence examples of star products. 1. Introduction: Quantization 1.1 Geometry. The setting of classical mechanics in phase-space has long been a source of inspiration for mathematicians. But (according to writing on a wall of the UCLA mathematics department building) Goethe once said that "Mathematicians are like Frenchmen: they translate everything...

6. Premiers espaces de la cohomologie de l'algèbre de Lie graduée de Nijenhuis-Richardson de l'espace des fonctions d'une variété - Poncin, Norbert

7. The Hochschild cohomologies of translation algebras and group cohomologies
this paper we investigate another quasi-isometry invariant cohomology for discrete groups and the associated transfer map into

8. Quelques Calculs De La Cohomologie De Gln - De La K-thorie De Z,Philippe Elbaz-vincent,Herbert Gangl,Et Christophe Soul
For N = 5 and N = 6, we compute the Vorono cell complex attached to real N-dimensional quadratic forms, and we obtain the homology of GLN (Z) with trivial coecients, up to small primes. We also prove that K 5 (Z) = Zand K 6 (Z) has only 3-torsion. 1. La thorie de Vorono Soit N > 2 un entier. Notons CN l'espace des formes quadratiques dnies positives relles de rang N . tant donne h 2 CN , les vecteurs minimaux de h, c'est--dire les vecteurs v non nuls de Z tels que h(v) soit minimal, forment un ensemble ni, not m(h). Une forme h 2...

9. Cohomology with respect to a variety of a category - Martínez Cegarra, Antonio; Grandjean, A.

10. Cohomology Theories on Compact and Locally Compact Spaces. - Spanier, E.
This paper is devoted to an exposition of cohomology theories on categories of spaces where the cohomology theories satisfy the type of axiom system considered in [1, 12, 16, 17, 18]. The categories considered are Ccomp, the category of all compact Haudorff spaces and continuous functions between them, and Cloc comp, the category of all locally compact Hausdorff spaces and proper continuous functions between them. The fundamental uniqueness theorem for cohomology theories on a finite dimensional space implies a corresponding uniqueness theorem for cohomology theories on either of these two categories. The proof involves an extension of the uniqueness theorem...

11. Genres multiplicatifs et opérations de Steenrod - Lamrini, F.; Kheldouni, A.

12. Chern-Dold character in elliptic cohomology - Lamrini, F.; Kheldouni, A.

13. Evaluating a p-th order cohomology operation - Harper, J.; Zabrodsky, A.
A certain p-th order cup product is detected by a p-th order cohomology operation. The result is applied to finite H-spaces, to show that several properties of compact Lie groups do not hold for arbitrary torsion free finite H-spaces.

14. Weakly additive cohomology - Spanier, E.
In this paper the concept of weakly additive cohomology theory is introduced as a variant of the known concept of additive cohomology theory. It is shown that for a closed A in X the singular homology of the pair (X, X-A) (with some fixed cohomology group) regarded as a furcter of A is a weakly additive cohomology theory on any collectionwise normal space X. Furthermore, every compactly supported cohomology theory is weakly additive. The main result is a comparison theorem for two cohomology theories on X both of which are additive or both of which are weakly additive which recomposes the...

15. Cohomology of Lie groups made discrete - Pascual Gainza, Pere
We give a survey of the work of Milnor, Friedlander, Mislin, Suslin and other authors on the Friedlander-Milnor conjecture on the homology of Lie groups made discrete and its relation to the algebraic K-theory of fields.

16. Cohomologies Of A Double Covering Of A Non-singular Algebraic Variety - S Lawomir Cynk
. Let X ! Y be a double covering of a non{singular complex algebraic manifold branched along a non{singular (reduced) divisor D. In this paper we shall prove that there is a natural isomorphism H i( j X ) = H i( j Y ) H i( j Y (log D)( 1 2 D)): We shall also give some methods to compute the second summand of the righthand side of the above formula. 1991 Mathematics Subject Classication. Primary: 14B05, 14J30; Secondary 32B10. Key words and phrases. Hodge number { logarithmic dierential forms { double covering { rsolution of singularities. Partially supported by KBN grant no 2P03A 022 17. 2 S LAWOMIR CYNK 1. Introduction Let X ! Y be a double covering of a non{singular complex algebraic variety Y...

17. Formules De Localisation En Cohomologie Equivariante - Paul-emile Paradan
Contents 1 Introduction 2 2 Cohomologie 'equivariante - D'efinitions 7 2.1 D'efinitions : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 7 2.2 Classes de Thom et d'Euler 'equivariantes : : : : : : : : : : : : : : : : : : : 9 3 Proc'ed'e de localisation 11 3.1 Localisation : : : : : : : : : : : : : : : : :...

18. Isomorphisme de Duflo et la cohomologie tangentielle - Pevzner, M.; Torossian, Ch.
In the present note we show that the Duflo isomorphism extends to an isomorphism of associative algebras of tangential cohomologies. This result confirms the B.Shoikhet's conjecture.

19. Cohomologías elípticas (Un ensayo introductorio) - Moreno, Guillermo
Let a and ß be any angles then the known formula sin (a+ß) = sina cosß + cosa sinß becomes under the substitution x = sina, y = sinß, sin (a + ß) = x v(1 - y2) + y v(1 - x2) =: F(x,y). This addition formula is an example of "Formal group law", which show up in many contexts in Modern Mathematics. In algebraic topology suitable cohomology theories induce a Formal group Law, the elliptic cohomologies are the ones who realize the Euler addition formula (1778): F(x,y) =: (x vR(y) + y vR(x)/1 - ex2y2). For R(z) = 1...

20. Computations of Nambu-Poisson cohomologies - Monnier, Philippe
We try to generalize the Poisson cohomology of a 2-dimensional Poisson manifold to the n-vectors on a n-dimensional manifold. We define several cohomologies and we compute locally some of them, in the case of germs at 0 of n-vectors on a real or complex vector field of dimension n.

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