Log in

Relevant bibliographies by topics / Cohomology with compact support / Journal articles

To see the other types of publications on this topic, follow the link: Cohomology with compact support.

Journal articles on the topic 'Cohomology with compact support'

Author: Grafiati

Published: 4 June 2021

Last updated: 18 February 2022

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Cohomology with compact support.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

Chatel, Gweltaz, and David Lubicz. "A Point Counting Algorithm Using Cohomology with Compact Support." LMS Journal of Computation and Mathematics 12 (2009): 295–325. http://dx.doi.org/10.1112/s1461157000001534.

Full text

Abstract:

AbstractWe describe an algorithm to count the number of rational points of an hyperelliptic curve defined over a finite field of odd characteristic which is based upon the computation of the action of the Frobenius morphism on a basis of the Monsky-Washnitzer cohomology with compact support. This algorithm follows the vein of a systematic exploration of potential applications of cohomology theories to point counting.Our algorithm decomposes in two steps. A first step which consists of the computation of a basis of the cohomology and then a second step to obtain a representation of the Frobenius morphism. We achieve a Õ(g4n3) time complexity and O(g3n3) memory complexity where g is the genus of the curve and n is the absolute degree of its base field. We give a detailed complexity analysis of the algorithm as well as a proof of correctness.

APA, Harvard, Vancouver, ISO, and other styles

2

García-Calcines, J. M., P. R. García-Díaz, and A. Murillo. "Brown representability for exterior cohomology and cohomology with compact supports." Journal of the London Mathematical Society 90, no. 1 (May 30, 2014): 184–96. http://dx.doi.org/10.1112/jlms/jdu024.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Nizioł, Wiesława. "On uniqueness of p-adic period morphisms, II." Compositio Mathematica 156, no. 9 (September 2020): 1915–64. http://dx.doi.org/10.1112/s0010437x20007344.

Full text

Abstract:

We prove equality of the various rational $p$-adic period morphisms for smooth, not necessarily proper, schemes. We start with showing that the $K$-theoretical uniqueness criterion we had found earlier for proper smooth schemes extends to proper finite simplicial schemes in the good reduction case and to cohomology with compact support in the semistable reduction case. It yields the equality of the period morphisms for cohomology with compact support defined using the syntomic, almost étale, and motivic constructions. We continue with showing that the $h$-cohomology period morphism agrees with the syntomic and almost étale period morphisms whenever the latter morphisms are defined (and up to a change of Hyodo–Kato cohomology). We do it by lifting the syntomic and almost étale period morphisms to the $h$-site of varieties over a field, where their equality with the $h$-cohomology period morphism can be checked directly using the Beilinson Poincaré lemma and the case of dimension $0$. This also shows that the syntomic and almost étale period morphisms have a natural extension to the Voevodsky triangulated category of motives and enjoy many useful properties (since so does the $h$-cohomology period morphism).

APA, Harvard, Vancouver, ISO, and other styles

4

Yang, Wu. "On Duality for Cohomology with Compact Supports." Moscow University Mathematics Bulletin 76, no. 1 (January 2021): 41–43. http://dx.doi.org/10.3103/s0027132221010083.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Xue, Cong. "Cuspidal cohomology of stacks of shtukas." Compositio Mathematica 156, no. 6 (May 14, 2020): 1079–151. http://dx.doi.org/10.1112/s0010437x20007058.

Full text

Abstract:

Let $G$ be a connected split reductive group over a finite field $\mathbb{F}_{q}$ and $X$ a smooth projective geometrically connected curve over $\mathbb{F}_{q}$. The $\ell$-adic cohomology of stacks of $G$-shtukas is a generalization of the space of automorphic forms with compact support over the function field of $X$. In this paper, we construct a constant term morphism on the cohomology of stacks of shtukas which is a generalization of the constant term morphism for automorphic forms. We also define the cuspidal cohomology which generalizes the space of cuspidal automorphic forms. Then we show that the cuspidal cohomology has finite dimension and that it is equal to the (rationally) Hecke-finite cohomology defined by V. Lafforgue.

APA, Harvard, Vancouver, ISO, and other styles

6

V�j�itu, Viorel. "Cohomology with compact supports for cohomologically q -convex spaces." Archiv der Mathematik 80, no. 5 (May 1, 2003): 496–500. http://dx.doi.org/10.1007/s00013-003-0496-7.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

Edmundo, Mário J., and Luca Prelli. "Invariance of o-minimal cohomology with definably compact supports." Confluentes Mathematici 7, no. 1 (February 3, 2016): 35–53. http://dx.doi.org/10.5802/cml.17.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

Forni, Giovanni. "Homology and cohomology with compact supports forq-convex spaces." Annali di Matematica Pura ed Applicata 159, no. 1 (December 1991): 229–54. http://dx.doi.org/10.1007/bf01766303.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

Petersen, Dan. "Cohomology of generalized configuration spaces." Compositio Mathematica 156, no. 2 (December 20, 2019): 251–98. http://dx.doi.org/10.1112/s0010437x19007747.

Full text

Abstract:

Let $X$ be a topological space. We consider certain generalized configuration spaces of points on $X$, obtained from the cartesian product $X^{n}$ by removing some intersections of diagonals. We give a systematic framework for studying the cohomology of such spaces using what we call ‘twisted commutative dg algebra models’ for the cochains on $X$. Suppose that $X$ is a ‘nice’ topological space, $R$ is any commutative ring, $H_{c}^{\bullet }(X,R)\rightarrow H^{\bullet }(X,R)$ is the zero map, and that $H_{c}^{\bullet }(X,R)$ is a projective $R$-module. We prove that the compact support cohomology of any generalized configuration space of points on $X$ depends only on the graded $R$-module $H_{c}^{\bullet }(X,R)$. This generalizes a theorem of Arabia.

APA, Harvard, Vancouver, ISO, and other styles

10

CHAPOTON, F. "ON THE NUMBER OF POINTS OVER FINITE FIELDS ON VARIETIES RELATED TO CLUSTER ALGEBRAS." Glasgow Mathematical Journal 53, no. 1 (December 22, 2010): 141–51. http://dx.doi.org/10.1017/s0017089510000777.

Full text

Abstract:

AbstractWe start here the study of some algebraic varieties related to cluster algebras. These varieties are defined as the fibres of the projection map from the cluster variety to the affine space of coefficients. We compute the number of points over finite fields on these varieties, for all simply laced Dynkin diagrams. We also compute the cohomology with compact support in some cases.

APA, Harvard, Vancouver, ISO, and other styles

11

Bondarko, Mikhail V., and David Z. Kumallagov. "On Chow-weight homology of motivic complexes and its relation to motivic homology." Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy 65, no. 4 (2020): 560–87. http://dx.doi.org/10.21638/spbu01.2020.401.

Full text

Abstract:

In this paper we study in detail the so-called Chow-weight homology of Voevodsky motivic complexes and relate it to motivic homology. We generalize earlier results and prove that the vanishing of higher motivic homology groups of a motif M implies similar vanishing for its Chow-weight homology along with effectivity properties of the higher terms of its weight complex t(M) and of higher Deligne weight quotients of its cohomology. Applying this statement to motives with compact support we obtain a similar relation between the vanishing of Chow groups and the cohomology with compact support of varieties. Moreover, we prove that if higher motivic homology groups of a geometric motif or a variety over a universal domain are torsion (in a certain “range”) then the exponents of these groups are uniformly bounded. To prove our main results we study Voevodsky slices of motives. Since the slice functors do not respect the compactness of motives, the results of the previous Chow-weight homology paper are not sufficient for our purposes; this is our main reason to extend them to (wChow-bounded below) motivic complexes

APA, Harvard, Vancouver, ISO, and other styles

12

Leal, Isabel. "On the ramification of étale cohomology groups." Journal für die reine und angewandte Mathematik (Crelles Journal) 2019, no. 749 (April 1, 2019): 295–304. http://dx.doi.org/10.1515/crelle-2016-0035.

Full text

Abstract:

Abstract Let K be a complete discrete valuation field whose residue field is perfect and of positive characteristic, let X be a connected, proper scheme over \mathcal{O}_{K} , and let U be the complement in X of a divisor with simple normal crossings. Assume that the pair (X,U) is strictly semi-stable over \mathcal{O}_{K} of relative dimension one and K is of equal characteristic. We prove that, for any smooth \ell -adic sheaf \mathcal{G} on U of rank one, at most tamely ramified on the generic fiber, if the ramification of \mathcal{G} is bounded by t+ for the logarithmic upper ramification groups of Abbes–Saito at points of codimension one of X, then the ramification of the étale cohomology groups with compact support of \mathcal{G} is bounded by t+ in the same sense.

APA, Harvard, Vancouver, ISO, and other styles

13

Chojecki, Przemysław. "On non-abelian Lubin–Tate theory for." Compositio Mathematica 151, no. 8 (March 12, 2015): 1433–61. http://dx.doi.org/10.1112/s0010437x14008008.

Full text

Abstract:

We analyse the$\text{mod}~p$étale cohomology of the Lubin–Tate tower both with compact support and without support. We prove that there are no supersingular representations in the$H_{c}^{1}$of the Lubin–Tate tower. On the other hand, we show that in$H^{1}$of the Lubin–Tate tower appears the$\text{mod}~p$local Langlands correspondence and the$\text{mod}~p$local Jacquet–Langlands correspondence, which we define in the text. We discuss the local-global compatibility part of the Buzzard–Diamond–Jarvis conjecture which appears naturally in this context.

APA, Harvard, Vancouver, ISO, and other styles

14

Tomassini, Giuseppe, and Viorel Vâjâitu. "On the cohomology with compact supports for q-complete mixed manifolds." Annali di Matematica Pura ed Applicata 181, no. 4 (November 2002): 349–63. http://dx.doi.org/10.1007/s102310100035.

Full text

APA, Harvard, Vancouver, ISO, and other styles

15

Dimca, Alexandru, and Morihiko Saito. "Number of Jordan blocks of the maximal size for local monodromies." Compositio Mathematica 150, no. 3 (February 11, 2014): 344–68. http://dx.doi.org/10.1112/s0010437x13007513.

Full text

Abstract:

AbstractWe prove formulas for the number of Jordan blocks of the maximal size for local monodromies of one-parameter degenerations of complex algebraic varieties where the bound of the size comes from the monodromy theorem. In the case when the general fibers are smooth and compact, the proof calculates some part of the weight spectral sequence of the limit mixed Hodge structure of Steenbrink. In the singular case, we can prove a similar formula for the monodromy on the cohomology with compact supports, but not on the usual cohomology. We also show that the number can really depend on the position of singular points in the embedded resolution, even in the isolated singularity case, and hence there are no simple combinatorial formulas using the embedded resolution in general.

APA, Harvard, Vancouver, ISO, and other styles

16

Yang, Yaping, and Gufang Zhao. "On two cohomological Hall algebras." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 150, no. 3 (January 29, 2019): 1581–607. http://dx.doi.org/10.1017/prm.2018.162.

Full text

Abstract:

AbstractWe compare two cohomological Hall algebras (CoHA). The first one is the preprojective CoHA introduced in [19] associated with each quiver Q, and each algebraic oriented cohomology theory A. It is defined as the A-homology of the moduli of representations of the preprojective algebra of Q, generalizing the K-theoretic Hall algebra of commuting varieties of Schiffmann-Vasserot [15]. The other one is the critical CoHA defined by Kontsevich-Soibelman associated with each quiver with potentials. It is defined using the equivariant cohomology with compact support with coefficients in the sheaf of vanishing cycles. In the present paper, we show that the critical CoHA, for the quiver with potential of Ginzburg, is isomorphic to the preprojective CoHA as algebras. As applications, we obtain an algebra homomorphism from the positive part of the Yangian to the critical CoHA.

APA, Harvard, Vancouver, ISO, and other styles

17

Beraldo, Dario. "Tempered D-modules and Borel–Moore homology vanishing." Inventiones mathematicae 225, no. 2 (March 4, 2021): 453–528. http://dx.doi.org/10.1007/s00222-021-01036-2.

Full text

Abstract:

AbstractWe characterize the tempered part of the automorphic Langlands category $$\mathfrak {D}({\text {Bun}}_G)$$ D ( Bun G ) using the geometry of the big cell in the affine Grassmannian. We deduce that, for G non-abelian, tempered D-modules have no de Rham cohomology with compact support. The latter fact boils down to a concrete statement, which we prove using the Ran space and some explicit t-structure estimates: for G non-abelian and $$\Sigma $$ Σ a smooth affine curve, the Borel–Moore homology of the indscheme $${\text {Maps}}(\Sigma ,G)$$ Maps ( Σ , G ) vanishes.

APA, Harvard, Vancouver, ISO, and other styles

18

Morel, Sophie. "Cohomologie d’intersection des variétés modulaires de Siegel, suite." Compositio Mathematica 147, no. 6 (September 28, 2011): 1671–740. http://dx.doi.org/10.1112/s0010437x11005409.

Full text

Abstract:

AbstractIn this work, we study the intersection cohomology of Siegel modular varieties. The goal is to express the trace of a Hecke operator composed with a power of the Frobenius endomorphism (at a good place) on this cohomology in terms of the geometric side of Arthur’s invariant trace formula for well-chosen test functions. Our main tools are the results of Kottwitz about the contribution of the cohomology with compact support and about the stabilization of the trace formula, Arthur’s L2 trace formula and the fixed point formula of Morel [Complexes pondérés sur les compactifications de Baily–Borel. Le cas des variétés de Siegel, J. Amer. Math. Soc. 21 (2008), 23–61]. We ‘stabilize’ this last formula, i.e. express it as a sum of stable distributions on the general symplectic groups and its endoscopic groups, and obtain the formula conjectured by Kottwitz in [Shimura varieties and λ-adic representations, in Automorphic forms, Shimura varieties and L-functions, Part I, Perspectives in Mathematics, vol. 10 (Academic Press, San Diego, CA, 1990), 161–209]. Applications of the results of this article have already been given by Kottwitz, assuming Arthur’s conjectures. Here, we give weaker unconditional applications in the cases of the groups GSp4 and GSp6.

APA, Harvard, Vancouver, ISO, and other styles

19

SEKIGUCHI, HIDEKO. "BRANCHING RULES OF SINGULAR UNITARY REPRESENTATIONS WITH RESPECT TO SYMMETRIC PAIRS (A2n-1, Dn)." International Journal of Mathematics 24, no. 04 (April 2013): 1350011. http://dx.doi.org/10.1142/s0129167x13500110.

Full text

Abstract:

The irreducible decomposition of scalar holomorphic discrete series representations when restricted to semisimple symmetric pairs (G, H) is explicitly known by Schmid [Die Randwerte holomorphe funktionen auf hermetisch symmetrischen Raumen, Invent. Math.9 (1969–1970) 61–80] for H compact and by Kobayashi [Multiplicity-Free Theorems of the Restrictions of Unitary Highest Weight Modules with Respect to Reductive Symmetric Pairs, Progress in Mathematics, Vol. 255 (Birhäuser, 2007), pp. 45–109] for H non-compact. In this paper, we deal with the symmetric pair (U(n, n), SO* (2n)), and extend the Kobayashi–Schmid formula to certain non-tempered unitary representations which are realized in Dolbeault cohomology groups over open Grassmannian manifolds with indefinite metric. The resulting branching rule is multiplicity-free and discretely decomposable, which fits in the framework of the general theory of discrete decomposable restrictions by Kobayashi [Discrete decomposability of the restriction of A𝔮(λ) with respect to reductive subgroups II — micro-local analysis and asymptotic K-support, Ann. Math.147 (1998), 709–729].

APA, Harvard, Vancouver, ISO, and other styles

20

ALBIN, PIERRE, and RICHARD MELROSE. "RELATIVE CHERN CHARACTER, BOUNDARIES AND INDEX FORMULAS." Journal of Topology and Analysis 01, no. 03 (September 2009): 207–50. http://dx.doi.org/10.1142/s1793525309000151.

Full text

Abstract:

For three classes of elliptic pseudodifferential operators on a compact manifold with boundary which have "geometric K-theory", namely the "transmission algebra" introduced by Boutet de Monvel [5], the "zero algebra" introduced by Mazzeo in [9, 10] and the "scattering algebra" from [16], we give explicit formulas for the Chern character of the index bundle in terms of the symbols (including normal operators at the boundary) of a Fredholm family of fiber operators. This involves appropriate descriptions, in each case, of the cohomology with compact supports in the interior of the total space of a vector bundle over a manifold with boundary in which the Chern character, mapping from the corresponding realization of K-theory, naturally takes values.

APA, Harvard, Vancouver, ISO, and other styles

21

Papadima, Stefan, and Alexander I. Suciu. "The Topology of Compact Lie Group Actions Through the Lens of Finite Models." International Mathematics Research Notices 2019, no. 20 (January 29, 2018): 6390–436. http://dx.doi.org/10.1093/imrn/rnx294.

Full text

Abstract:

AbstractGiven a compact, connected Lie group K, we use principal K-bundles to construct manifolds with prescribed finite-dimensional algebraic models. Conversely, let M be a compact, connected, smooth manifold, which supports an almost free K-action. Under a partial formality assumption on the orbit space and a regularity assumption on the characteristic classes of the action, we describe an algebraic model for M with commensurate finiteness and partial formality properties. The existence of such a model has various implications on the structure of the cohomology jump loci of M and of the representation varieties of π1(M). As an application, we show that compact Sasakian manifolds of dimension 2n + 1 are (n − 1)-formal, and that their fundamental groups are filtered-formal. Further applications to the study of weighted-homogeneous isolated surface singularities are also given.

APA, Harvard, Vancouver, ISO, and other styles

22

Haines, Thomas J. "On Connected Components of Shimura Varieties." Canadian Journal of Mathematics 54, no. 2 (April 1, 2002): 352–95. http://dx.doi.org/10.4153/cjm-2002-012-x.

Full text

Abstract:

AbstractWe study the cohomology of connected components of Shimura varieties coming from the group GSp2g, by an approach modeled on the stabilization of the twisted trace formula, due to Kottwitz and Shelstad. More precisely, for each character ϖ on the group of connected components of we define an operator L(ω) on the cohomology groups with compact supports Hic(, ), and then we prove that the virtual trace of the composition of L(ω) with a Hecke operator f away from p and a sufficiently high power of a geometric Frobenius , can be expressed as a sum of ω-weighted (twisted) orbital integrals (where ω-weighted means that the orbital integrals and twisted orbital integrals occuring here each have a weighting factor coming from the character ϖ). As the crucial step, we define and study a new invariant α1(γ0; γ, δ) which is a refinement of the invariant α(γ0; γ, δ) defined by Kottwitz. This is done by using a theorem of Reimann and Zink.

APA, Harvard, Vancouver, ISO, and other styles

23

Rajhi, Anis. "Cohomologie à support compact d’un espace au-dessus de l’immeuble de Bruhat-Tits de GL n sur un corps local. Représentations cuspidales de niveau zéro." Confluentes Mathematici 10, no. 1 (September 9, 2018): 95–124. http://dx.doi.org/10.5802/cml.47.

Full text

APA, Harvard, Vancouver, ISO, and other styles

24

Console, S., and A. Fino. "Dolbeault cohomology of compact nilmanifolds." Transformation Groups 6, no. 2 (June 2001): 111–24. http://dx.doi.org/10.1007/bf01597131.

Full text

APA, Harvard, Vancouver, ISO, and other styles

25

Trapani, Stefano. "Holomorphically convex compact sets and cohomology." Pacific Journal of Mathematics 134, no. 1 (September 1, 1988): 179–96. http://dx.doi.org/10.2140/pjm.1988.134.179.

Full text

APA, Harvard, Vancouver, ISO, and other styles

26

Gorbatsevich, V. V. "Stable cohomology of compact homogeneous spaces." Mathematical Notes 83, no. 5-6 (June 2008): 735–43. http://dx.doi.org/10.1134/s0001434608050192.

Full text

APA, Harvard, Vancouver, ISO, and other styles

27

BISWAS, INDRANIL, and PRALAY CHATTERJEE. "SECOND COHOMOLOGY OF COMPACT HOMOGENEOUS SPACES." International Journal of Mathematics 24, no. 09 (August 2013): 1350076. http://dx.doi.org/10.1142/s0129167x13500766.

Full text

Abstract:

In Theorem 3.3 of [I. Biswas and P. Chatterjee, On the exactness of Kostant–Kirillov form and the second cohomology of nilpotent orbits, Int. J. Math.23(8) (2012)], the second cohomology of a quotient of a compact semisimple real Lie group was computed. In this addendum to the above paper, we give a simple topological proof of this theorem.

APA, Harvard, Vancouver, ISO, and other styles

28

Andersen, Kasper K. S., Natàlia Castellana, Vincent Franjou, Alain Jeanneret, and Jérôme Scherer. "Spaces with Noetherian cohomology." Proceedings of the Edinburgh Mathematical Society 56, no. 1 (December 5, 2012): 13–25. http://dx.doi.org/10.1017/s0013091512000193.

Full text

Abstract:

AbstractIs the cohomology of the classifying space of a p-compact group, with Noetherian twisted coefficients, a Noetherian module? In this paper we provide, over the ring of p-adic integers, such a generalization to p-compact groups of the Evens–Venkov Theorem. We consider the cohomology of a space with coefficients in a module, and we compare Noetherianity over the field with p elements with Noetherianity over the p-adic integers, in the case when the fundamental group is a finite p-group.

APA, Harvard, Vancouver, ISO, and other styles

29

GINZBURG, VIKTOR L. "MOMENTUM MAPPINGS AND POISSON COHOMOLOGY." International Journal of Mathematics 07, no. 03 (June 1996): 329–58. http://dx.doi.org/10.1142/s0129167x96000207.

Full text

Abstract:

We analyze the question of existence and uniqueness of equivariant momentum mappings for Poisson actions of Poisson Lie groups. A necessary and sufficient condition for the equivariant momentum mapping to be unique is given. The existence problem is solved under some extra hypotheses, for example, when the action preserves the Poisson structure. In this case, the problem is closely related to the triviality of the induced group action on the Poisson cohomology. This action is shown to be trivial whenever the group is compact or semisimple. Conceptually, these results rely upon a version of “Poisson calculus” developed here to make one-forms on a Poisson manifold induce a “flow” preserving the Poisson structure. In the general case, obstructions to the existence of an infinitesimal version of an equivariant momentum mapping are found. Using Lie algebra cohomology with coefficients in Fréchet modules, we show that the obstructions vanish, and the infinitesimal mapping exists, when the group is compact semisimple. We also prove the rigidity of compact group actions preserving the Poisson structure on a compact manifold and calculate the Poisson cohomology of the Poisson homogeneous space [Formula: see text].

APA, Harvard, Vancouver, ISO, and other styles

30

Lowen, Wendy. "Hochschild Cohomology with Support." International Mathematics Research Notices 2015, no. 13 (May 28, 2014): 4741–812. http://dx.doi.org/10.1093/imrn/rnu079.

Full text

APA, Harvard, Vancouver, ISO, and other styles

31

Ramani, Vimala, and Parameswaran Sankaran. "Dolbeault cohomology of compact complex homogeneous manifolds." Proceedings Mathematical Sciences 109, no. 1 (February 1999): 11–21. http://dx.doi.org/10.1007/bf02837763.

Full text

APA, Harvard, Vancouver, ISO, and other styles

32

Zhang, Dong, Bohui Chen, and Cheng-Yong Du. "A quantum modification of relative cohomology." International Journal of Geometric Methods in Modern Physics 12, no. 02 (January 29, 2015): 1550021. http://dx.doi.org/10.1142/s0219887815500218.

Full text

Abstract:

In this paper, we give a quantum modification of the relative cup product on H*(X, S;ℝ) by using Gromov–Witten invariants when S is a compact codimension 2k symplectic submanifold of the compact symplectic manifold (X, ω).

APA, Harvard, Vancouver, ISO, and other styles

33

LÉANDRE, RÉMI. "STOCHASTIC ADAMS THEOREM FOR A GENERAL COMPACT MANIFOLD." Reviews in Mathematical Physics 13, no. 09 (September 2001): 1095–133. http://dx.doi.org/10.1142/s0129055x01000909.

Full text

Abstract:

We give a stochastic analoguous of the theorem of Adams, which says that the Hochschild cohomology is equal to the cohomology of the based smooth loop space. The key tools are the stochastic Chen iterated integrals as well as Driver's flow.

APA, Harvard, Vancouver, ISO, and other styles

34

Bytsenko, A. A., M. Libine, and F. L. Williams. "Localization of Equivariant Cohomology for Compact and Non-Compact Group Actions." Journal of Dynamical Systems and Geometric Theories 3, no. 2 (January 2005): 171–95. http://dx.doi.org/10.1080/1726037x.2005.10698497.

Full text

APA, Harvard, Vancouver, ISO, and other styles

35

DEY, PINKA, and MAHENDER SINGH. "FREE ACTIONS OF SOME COMPACT GROUPS ON MILNOR MANIFOLDS." Glasgow Mathematical Journal 61, no. 03 (October 31, 2018): 727–42. http://dx.doi.org/10.1017/s0017089518000484.

Full text

Abstract:

AbstractIn this paper, we investigate free actions of some compact groups on cohomology real and complex Milnor manifolds. More precisely, we compute the mod 2 cohomology algebra of the orbit space of an arbitrary free ℤ2 and $\mathbb{S}^1$-action on a compact Hausdorff space with mod 2 cohomology algebra of a real or a complex Milnor manifold. As applications, we deduce some Borsuk–Ulam type results for equivariant maps between spheres and these spaces. For the complex case, we obtain a lower bound on the Schwarz genus, which further establishes the existence of coincidence points for maps to the Euclidean plane.

APA, Harvard, Vancouver, ISO, and other styles

36

BRODZKI, JACEK, GRAHAM A. NIBLO, PIOTR W. NOWAK, and NICK WRIGHT. "AMENABLE ACTIONS, INVARIANT MEANS AND BOUNDED COHOMOLOGY." Journal of Topology and Analysis 04, no. 03 (September 2012): 321–34. http://dx.doi.org/10.1142/s1793525312500161.

Full text

Abstract:

We show that amenability of an action of a discrete group on a compact space X is equivalent to vanishing of bounded cohomology for a class of Banach G-modules associated to the action, that can be viewed as analogs of continuous bundles of dual modules over the G-space X. In the case when the compact space is a point, our result reduces to a classic theorem of Johnson, characterising amenability of groups. In the case when the compact space is the Stone–Čech compactification of the group, we obtain a cohomological characterisation of exactness, or equivalently, Yu's property A for the group, answering a question of Higson.

APA, Harvard, Vancouver, ISO, and other styles

37

NESHVEYEV, SERGEY, and LARS TUSET. "ON SECOND COHOMOLOGY OF DUALS OF COMPACT GROUPS." International Journal of Mathematics 22, no. 09 (September 2011): 1231–60. http://dx.doi.org/10.1142/s0129167x11007239.

Full text

Abstract:

We show that for any compact connected group G the second cohomology group defined by unitary invariant two-cocycles on Ĝ is canonically isomorphic to [Formula: see text]. This implies that the group of autoequivalences of the C*-tensor category Rep G is isomorphic to [Formula: see text]. We also show that a compact connected group G is completely determined by Rep G. More generally, extending a result of Etingof–Gelaki and Izumi–Kosaki we describe all pairs of compact separable monoidally equivalent groups. The proofs rely on the theory of ergodic actions of compact groups developed by Landstad and Wassermann and on its algebraic counterpart developed by Etingof and Gelaki for the classification of triangular semisimple Hopf algebras. We give a self-contained account of amenability of tensor categories, fusion rings and discrete quantum groups, and prove an analog of Radford's theorem on minimal Hopf subalgebras of quasitriangular Hopf algebras for compact quantum groups.

APA, Harvard, Vancouver, ISO, and other styles

38

Budur, Nero, and Botong Wang. "Cohomology jump loci of quasi-compact Kähler manifolds." Pure and Applied Mathematics Quarterly 16, no. 4 (2020): 981–99. http://dx.doi.org/10.4310/pamq.2020.v16.n4.a3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

39

Cordero, Luis A., Marisa Fernández, Alfred Gray, and Luis Ugarte. "Compact nilmanifolds with nilpotent complex structures: Dolbeault cohomology." Transactions of the American Mathematical Society 352, no. 12 (June 28, 2000): 5405–33. http://dx.doi.org/10.1090/s0002-9947-00-02486-7.

Full text

APA, Harvard, Vancouver, ISO, and other styles

40

Guan, Daniel. "Modification and the cohomology groups of compact solvmanifolds." Electronic Research Announcements of the American Mathematical Society 13, no. 08 (December 7, 2007): 74–82. http://dx.doi.org/10.1090/s1079-6762-07-00176-x.

Full text

APA, Harvard, Vancouver, ISO, and other styles

41

Mazzeo, Rafe. "The Hodge cohomology of a conformally compact metric." Journal of Differential Geometry 28, no. 2 (1988): 309–39. http://dx.doi.org/10.4310/jdg/1214442281.

Full text

APA, Harvard, Vancouver, ISO, and other styles

42

Brudnyi, A. Yu, and A. L. Onishchik. "Triangular de Rham cohomology of compact Kahler manifolds." Sbornik: Mathematics 192, no. 2 (February 28, 2001): 187–214. http://dx.doi.org/10.1070/sm2001v192n02abeh000541.

Full text

APA, Harvard, Vancouver, ISO, and other styles

43

Angella, Daniele, Georges Dloussky, and Adriano Tomassini. "On Bott-Chern cohomology of compact complex surfaces." Annali di Matematica Pura ed Applicata (1923 -) 195, no. 1 (October 21, 2014): 199–217. http://dx.doi.org/10.1007/s10231-014-0458-7.

Full text

APA, Harvard, Vancouver, ISO, and other styles

44

Ancona, Vincenzo, and Bernard Gaveau. "Holomorphic cohomology groups on compact Kähler complex spaces." Bulletin des Sciences Mathématiques 134, no. 7 (October 2010): 705–23. http://dx.doi.org/10.1016/j.bulsci.2010.06.004.

Full text

APA, Harvard, Vancouver, ISO, and other styles

45

Verbitsky, Mikhail. "Cohomology of compact hyperkähler manifolds and its applications." Geometric and Functional Analysis 6, no. 4 (July 1996): 601–11. http://dx.doi.org/10.1007/bf02247112.

Full text

APA, Harvard, Vancouver, ISO, and other styles

46

Hebda, James J. "The possible cohomology of certain types of taut submanifolds." Nagoya Mathematical Journal 111 (September 1988): 85–97. http://dx.doi.org/10.1017/s0027763000001008.

Full text

Abstract:

The first purpose of this paper is to exhibit several families of compact manifolds that do not ad nit taut embeddings into any sphere. The second is to enumerate ths possible Z2-cohomology rings of those compact manifolds which do admit a taut embedding and whose cohomology rings satisfy certain degeneracy conditions. The first purpose is easily attained once the second has been accomplished, for it is a simple matter to present families of spaces whose cohomology rings satisfy the required degeneracy conditions, but are not on the list of those admitting a taut embedding.

APA, Harvard, Vancouver, ISO, and other styles

47

Hirsch, Morris W., and Charles C. Pugh. "Cohomology of chain recurrent sets." Ergodic Theory and Dynamical Systems 8, no. 1 (March 1988): 73–80. http://dx.doi.org/10.1017/s0143385700004326.

Full text

Abstract:

AbstractLet ϕ be a flow on a compact metric space Λ and let p ∈ Λ be chain recurrent. We show that (Λ; ℝ) ≠ 0 if dimp Λ = 1 or if p belongs to a section of ϕ. Applications to planar flows and to smooth flows are given.

APA, Harvard, Vancouver, ISO, and other styles

48

Kuhn, Nicholas J. "Nilpotence in group cohomology." Proceedings of the Edinburgh Mathematical Society 56, no. 1 (December 5, 2012): 151–75. http://dx.doi.org/10.1017/s001309151200017x.

Full text

Abstract:

AbstractWe study bounds on nilpotence in H*(BG), the mod p cohomology of the classifying space of a compact Lie group G. Part of this is a report of our previous work on this problem, updated to reflect the consequences of Peter Symonds's recent verification of Dave Benson's Regularity Conjecture. New results are given for finite p-groups, leading to good bounds on nilpotence in H*(BP) determined by the subgroup structure of the p-group P.

APA, Harvard, Vancouver, ISO, and other styles

49

Berarducci, Alessandro. "O-minimal spectra, infinitesimal subgroups and cohomology." Journal of Symbolic Logic 72, no. 4 (December 2007): 1177–93. http://dx.doi.org/10.2178/jsl/1203350779.

Full text

Abstract:

AbstractBy recent work on some conjectures of Pillay, each definably compact group G in a saturated o-minimal expansion of an ordered field has a normal “infinitesimal subgroup” G00 such that the quotient G/G00, equipped with the “logic topology”, is a compact (real) Lie group. Our first result is that the functor G ↦ G/G00 sends exact sequences of definably compact groups into exact sequences of Lie groups. We then study the connections between the Lie group G/G00 and the o-minimal spectrum of G. We prove that G/G00 is a topological quotient of . We thus obtain a natural homomorphism Ψ* from the cohomology of G/G00 to the (Čech-)cohomology of . We show that if G00 satisfies a suitable contractibility conjecture then is acyclic in Čech cohomology and Ψ is an isomorphism. Finally we prove the conjecture in some special cases.

APA, Harvard, Vancouver, ISO, and other styles

50

BERARDUCCI, ALESSANDRO, and ANTONGIULIO FORNASIERO. "o-MINIMAL COHOMOLOGY: FINITENESS AND INVARIANCE RESULTS." Journal of Mathematical Logic 09, no. 02 (December 2009): 167–82. http://dx.doi.org/10.1142/s0219061309000859.

Full text

Abstract:

The topology of definable sets in an o-minimal expansion of a group is not fully understood due to the lack of a triangulation theorem. Despite the general validity of the cell decomposition theorem, we do not know whether any definably compact set is a definable CW-complex. Moreover the closure of an o-minimal cell can have arbitrarily high Betti numbers. Nevertheless we prove that the cohomology groups of a definably compact set over an o-minimal expansion of a group are finitely generated and invariant under elementary extensions and expansions of the language.

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!