Relevant bibliographies by topics / Cocycle

Academic literature on the topic 'Cocycle'

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Published: 4 June 2021
Last updated: 6 February 2022

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Journal articles on the topic "Cocycle"

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DAMJANOVIĆ, DANIJELA, and DISHENG XU. "Diffeomorphism group valued cocycles over higher-rank abelian Anosov actions." Ergodic Theory and Dynamical Systems 40, no. 1 (April 5, 2018): 117–41. http://dx.doi.org/10.1017/etds.2018.22.

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We prove that every smooth diffeomorphism group valued cocycle over certain$\mathbb{Z}^{k}$Anosov actions on tori (and more generally on infranilmanifolds) is a smooth coboundary on a finite cover, if the cocycle is center bunched and trivial at a fixed point. For smooth cocycles which are not trivial at a fixed point, we have smooth reduction of cocycles to constant ones, when lifted to the universal cover. These results on cocycle trivialization apply, via the existing global rigidity results, to maximal Cartan$\mathbb{Z}^{k}$($k\geq 3$) actions by Anosov diffeomorphisms (with at least one transitive), on any compact smooth manifold. This is the first rigidity result for cocycles over$\mathbb{Z}^{k}$actions with values in diffeomorphism groups which does not require any restrictions on the smallness of the cocycle or on the diffeomorphism group.
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IWAKIRI, MASAHIDE. "CALCULATION OF DIHEDRAL QUANDLE COCYCLE INVARIANTS OF TWIST SPUN 2-BRIDGE KNOTS." Journal of Knot Theory and Its Ramifications 14, no. 02 (March 2005): 217–29. http://dx.doi.org/10.1142/s0218216505003798.

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Carter, Jelsovsky, Kamada, Langford and Saito introduced the quandle cocycle invariants of 2-knots, and calculated the cocycle invariant of a 2-twist-spun trefoil knot associated with a 3-cocycle of the dihedral quandle of order 3. Asami and Satoh calculated the cocycle invariants of twist-spun torus knots τrT(m,n) associated with 3-cocycles of some dihedral quandles. They used tangle diagrams of the torus knots. In this paper, we calculate the cocycle invariants of twist-spun 2-bridge knots τrS(α,β) by a similar method.
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BOCHI, JAIRO, and ANDRÉS NAVAS. "A geometric path from zero Lyapunov exponents to rotation cocycles." Ergodic Theory and Dynamical Systems 35, no. 2 (August 20, 2013): 374–402. http://dx.doi.org/10.1017/etds.2013.58.

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AbstractWe consider cocycles of isometries on spaces of non-positive curvature $H$. We show that the supremum of the drift over all invariant ergodic probability measures equals the infimum of the displacements of continuous sections under the cocycle dynamics. In particular, if a cocycle has uniform sublinear drift, then there are almost invariant sections, that is, sections that move arbitrarily little under the cocycle dynamics. If, in addition, $H$ is a symmetric space, then we show that almost invariant sections can be made invariant by perturbing the cocycle.
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FARMER, D. G., and K. J. HORADAM. "A POLYNOMIAL APPROACH TO COCYCLES OVER ELEMENTARY ABELIAN GROUPS." Journal of the Australian Mathematical Society 85, no. 2 (October 2008): 177–90. http://dx.doi.org/10.1017/s1446788708000876.

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AbstractWe derive bivariate polynomial formulae for cocycles and coboundaries in Z2(ℤpn,ℤpn), and a basis for the (pn−1−n)-dimensional GF(pn)-space of coboundaries. When p=2 we determine a basis for the $(2^n + {n\choose 2} -1)$-dimensional GF(2n)-space of cocycles and show that each cocycle has a unique decomposition as a direct sum of a coboundary and a multiplicative cocycle of restricted form.
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SADOVSKAYA, VICTORIA. "Cohomology of fiber bunched cocycles over hyperbolic systems." Ergodic Theory and Dynamical Systems 35, no. 8 (August 4, 2014): 2669–88. http://dx.doi.org/10.1017/etds.2014.43.

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We consider Hölder continuous fiber bunched $\text{GL}(d,\mathbb{R})$-valued cocycles over an Anosov diffeomorphism. We show that two such cocycles are Hölder continuously cohomologous if they have equal periodic data, and prove a result for cocycles with conjugate periodic data. We obtain a corollary for cohomology between any constant cocycle and its small perturbation. The fiber bunching condition means that non-conformality of the cocycle is dominated by the expansion and contraction in the base. We show that this condition can be established based on the periodic data. Some important examples of cocycles come from the differential of a diffeomorphism and its restrictions to invariant sub-bundles. We discuss an application of our results to the question of whether an Anosov diffeomorphism is smoothly conjugate to a $C^{1}$-small perturbation. We also establish Hölder continuity of a measurable conjugacy between a fiber bunched cocycle and a uniformly quasiconformal one. Our main results also hold for cocycles with values in a closed subgroup of $\text{GL}(d,\mathbb{R})$, for cocycles over hyperbolic sets and shifts of finite type, and for linear cocycles on a non-trivial vector bundle.
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SCHMIDT, KLAUS. "Tilings, fundamental cocycles and fundamental groups of symbolic ${\Bbb Z}^{d}$-actions." Ergodic Theory and Dynamical Systems 18, no. 6 (December 1998): 1473–525. http://dx.doi.org/10.1017/s0143385798118060.

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We prove that certain topologically mixing two-dimensional shifts of finite type have a ‘fundamental’ $1$-cocycle with the property that every continuous $1$-cocycle on the shift space with values in a discrete group is continuously cohomologous to a homomorphic image of the fundamental cocycle. These fundamental cocycles are closely connected with representations of the shift space by Wang tilings and the tiling groups of Conway, Lagarias and Thurston, and they determine the projective fundamental groups of the shift spaces introduced by Geller and Propp.
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Clark, W. Edwin, Larry A. Dunning, and Masahico Saito. "Computations of quandle 2-cocycle knot invariants without explicit 2-cocycles." Journal of Knot Theory and Its Ramifications 26, no. 07 (February 24, 2017): 1750035. http://dx.doi.org/10.1142/s0218216517500353.

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We explore a knot invariant derived from colorings of corresponding [Formula: see text]-tangles with arbitrary connected quandles. When the quandle is an abelian extension of a certain type the invariant is equivalent to the quandle [Formula: see text]-cocycle invariant. We construct many such abelian extensions using generalized Alexander quandles without explicitly finding [Formula: see text]-cocycles. This permits the construction of many [Formula: see text]-cocycle invariants without exhibiting explicit [Formula: see text]-cocycles. We show that for connected generalized Alexander quandles the invariant is equivalent to Eisermann’s knot coloring polynomial. Computations using this technique show that the [Formula: see text]-cocycle invariant distinguishes all of the oriented prime knots up to 11 crossings and most oriented prime knots with 12 crossings including classification by symmetry: mirror images, reversals, and reversed mirrors.
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Clark, W. Edwin, and Masahico Saito. "Algebraic properties of quandle extensions and values of cocycle knot invariants." Journal of Knot Theory and Its Ramifications 25, no. 14 (December 2016): 1650080. http://dx.doi.org/10.1142/s0218216516500802.

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Quandle 2-cocycles define invariants of classical and virtual knots, and extensions of quandles. We show that the quandle 2-cocycle invariant with respect to a non-trivial [Formula: see text]-cocycle is constant, or takes some other restricted form, for classical knots when the corresponding extensions satisfy certain algebraic conditions. In particular, if an abelian extension is a conjugation quandle, then the corresponding cocycle invariant is constant. Specific examples are presented from the list of connected quandles of order less than 48. Relations among various quandle epimorphisms involved are also examined.
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Backes, Lucas. "Cohomology of fiber-bunched twisted cocycles over hyperbolic systems." Proceedings of the Edinburgh Mathematical Society 63, no. 3 (July 21, 2020): 844–60. http://dx.doi.org/10.1017/s0013091520000206.

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AbstractA twisted cocycle taking values on a Lie group G is a cocycle that is twisted by an automorphism of G in each step. In the case where G = GL(d, ℝ), we prove that if two Hölder continuous twisted cocycles satisfying the so-called fiber-bunching condition have the same periodic data then they are cohomologous.
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Ishii, Atsushi, Masahide Iwakiri, Seiichi Kamada, Jieon Kim, Shosaku Matsuzaki, and Kanako Oshiro. "Biquandle (co)homology and handlebody-links." Journal of Knot Theory and Its Ramifications 27, no. 11 (October 2018): 1843011. http://dx.doi.org/10.1142/s0218216518430113.

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In this paper, we introduce the (co)homology group of a multiple conjugation biquandle. It is the (co)homology group of the prismatic chain complex, which is related to the homology of foams introduced by J. S. Carter, modulo a certain subchain complex. We construct invariants for [Formula: see text]-oriented handlebody-links using [Formula: see text]-cocycles. When a multiple conjugation biquandle [Formula: see text] is obtained from a biquandle [Formula: see text] using [Formula: see text]-parallel operations, we provide a [Formula: see text]-cocycle (or [Formula: see text]-cocycle) of the multiple conjugation biquandle [Formula: see text] from a [Formula: see text]-cocycle (or [Formula: see text]-cocycle) of the biquandle [Formula: see text] equipped with an [Formula: see text]-set [Formula: see text].
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Dissertations / Theses on the topic "Cocycle"

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Davies, Andrew Phillip. "Cocycle twists of algebras." Thesis, University of Manchester, 2014. https://www.research.manchester.ac.uk/portal/en/theses/cocycle-twists-of-algebras(23710bc8-abdf-4b8d-9836-111164fefc11).html.

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Stewart, Colin 1976. "Universal deformations, rigidity, and Ihara's cocycle." Thesis, McGill University, 2000. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=31545.

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In [Iha86b), Ihara constructs a universal cocycle GalQ/Q →Zp t0,t1 ,tinfinity /&parl0;t0+1 t1 +1tinfinity +1-1&parr0; arising from the action of Gal Q/Q on certain quotients of the Jacobians of the Fermat curves xpn+ypn=1 for each n ≥ 1. This thesis gives a different construction of part of Ihara's cocycle by considering the universal deformation of certain two-dimensional representations of IIQ, , where IIQ is the algebraic fundamental group of P1Q \0,1,infinity . More precisely, we determine, with and without certain deformation conditions, the universal deformation ring arising from a residual representation r:II Q→GL2 Fp Belyi˘'s Rigidity Theorem is used to extend each determinant one universal deformation to a representation of IIK, where K is a finite cyclotomic extension of Qmpinfinity . For a particular r , we give a geometric construction of one such extended universal deformation r , and show that part of Ihara's cocycle can be recovered by specializing r at infinity.
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Leguil, Martin. "Cocycle dynamics and problems of ergodicity." Thesis, Sorbonne Paris Cité, 2017. http://www.theses.fr/2017USPCC159/document.

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Le travail qui suit comporte quatre chapitres : le premier est centré autour de la propriété de mélange faible pour les échanges d'intervalles et flots de translation. On y présente des résultats obtenus avec Artur Avila qui renforcent des résultats précédents dus à Artur Avila et Giovanni Forni. Le deuxième chapitre est consacré à un travail en commun avec Zhiyuan Zhang et concerne les propriétés d'ergodicité et d'accessibilité stables pour des systèmes partiellement hyperboliques de dimension centrale au moins égale à deux. On montre que sous des hypothèses de cohérence dynamique, center bunching et pincement fort, la propriété d'accessibilité stable est dense en topologie C^r, r>1, et même prévalente au sens de Kolmogorov. Dans le troisième chapitre, on expose les résultats d'un travail réalisé en collaboration avec Julie Déserti, consacré à l'étude d'une famille à un paramètre d'automorphismes polynomiaux de C^3 ; on montre que de nouveaux phénomènes apparaissent par rapport à ce qui était connu dans le cas de la dimension deux. En particulier, on étudie les vitesses d'échappement à l'infini, en montrant qu'une transition s'opère pour une certaine valeur du paramètre. Le dernier chapitre est issu d'un travail en collaboration avec Jiangong You, Zhiyan Zhao et Qi Zhou ; on s'intéresse à des estimées asymptotiques sur la taille des trous spectraux des opérateurs de Schrödinger quasi-périodiques dans le cadre analytique. On obtient des bornes supérieures exponentielles dans le régime sous-critique, ce qui renforce un résultat précédent de Sana Ben Hadj Amor. Dans le cas particulier des opérateurs presque Mathieu, on montre également des bornes inférieures exponentielles, qui donnent des estimées quantitatives en lien avec le problème dit "des dix Martinis". Comme conséquences de nos résultats, on présente des applications à l'homogénéité du spectre de tels opérateurs ainsi qu'à la conjecture de Deift
The following work contains four chapters: the first one is centered around the weak mixing property for interval exchange transformations and translation flows. It is based on the results obtained together with Artur Avila which strengthen previous results due to Artur Avila and Giovanni Forni. The second chapter is dedicated to a joint work with Zhiyuan Zhang, in which we study the properties of stable ergodicity and accessibility for partially hyperbolic systems with center dimension at least two. We show that for dynamically coherent partially hyperbolic diffeomorphisms and under certain assumptions of center bunching and strong pinching, the property of stable accessibility is dense in C^r topology, r>1, and even prevalent in the sense of Kolmogorov. In the third chapter, we explain the results obtained together with Julie Déserti on the properties of a one-parameter family of polynomial automorphisms of C^3; we show that new behaviours can be observed in comparison with the two-dimensional case. In particular, we study the escape speed of points to infinity and show that a transition exists for a certain value of the parameter. The last chapter is based on a joint work with Jiangong You, Zhiyan Zhao and Qi Zhou; we get asymptotic estimates on the size of spectral gaps for quasi-periodic Schrödinger operators in the analytic case. We obtain exponential upper bounds in the subcritical regime, which strengthens a previous result due to Sana Ben Hadj Amor. In the particular case of almost Mathieu operators, we also show exponential lower bounds, which provides quantitative estimates in connection with the so-called "Dry ten Martinis problem". As consequences of our results, we show applications to the homogeneity of the spectrum of such operators, and to Deift's conjecture
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Appiou, Nikiforou Marina. "Extensions of Quandles and Cocycle Knot Invariants." [Tampa, Fla.] : University of South Florida, 2002. http://purl.fcla.edu/fcla/etd/SFE0000125.

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Gutiérrez, Rodolfo. "Combinatorial theory of the Kontsevich–Zorich cocycle." Thesis, Sorbonne Paris Cité, 2019. https://theses.md.univ-paris-diderot.fr/GUTIERREZ_Rodolfo_2_complete_20190408.pdf.

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En ce travail, trois questions liées au cocycle de Kontsevich–Zorich dans l'espaces de modules des différentielles quadratiques sont étudies avec des techniques combinatoires.Les deux premières impliquent la structure des groupes de Rauzy–Veech des différentielles abéliennes et quadratiques, respectivement. Ces groupes encodent l'action homologique des orbites presque fermées du flot géodésique de Teichmüller dans une composante connexe donnée d'une strate via le cocycle de Kontsevich–Zorich. Pour le cas abélien, on classifie complètement ces groupes et on montre qu'ils sont des sous-groupes explicites des groupes symplectiques, et qu'ils sont commensurables avec des réseaux arithmétiques. Pour le cas quadratique, on montre qu'ils sont aussi commensurables avec des réseaux arithmétiques si certaines conditions sur les ordres des singularités sont satisfaites.La troisième question implique la réalisabilité de certain groupes algébriques comme adhérences de Zariski des groupes de monodromie des surfaces à petits carreaux. En fait, on montre que quelques groupes de la forme SO*(2d) sont réalisables comme telles adhérences
In this work, three questions related to the Kontsevich--Zorich cocycle in the moduli space of quadratic differentials are studied by using combinatorial techniques.The first two deal with the structure of the Rauzy--Veech groups of Abelian and quadratic differentials, respectively. These groups encode the homological action of almost-closed orbits of the Teichmüller geodesic flow in a given component of a stratum via the Kontsevich--Zorich cocycle. For Abelian differentials, we completely classify such groups, showing that they are explicit subgroups of symplectic groups that are commensurable to arithmetic lattices. For quadratic differentials, we show that they are also commensurable to arithmetic lattices of symplectic groups if certain conditions on the orders of the singularities are satisfied.The third question deals with the realisability of certain algebraic groups as Zariski-closures of monodromy groups of square-tiled surfaces. Indeed, we show that some groups of the form SO*(2d) are realisable as such Zariski-closures
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Schwartz, Peter Oliver. "A cocycle theorem with an application to Rosenthal sets /." The Ohio State University, 1994. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487854314870973.

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Depauw, Jérôme. "Théorèmes ergodiques pour cocycle de degré 2, critères de récurrence pour cocycles de degré 1, d'une action de ZZd : Application au régime électrique stationnaire." Brest, 1994. http://www.theses.fr/1994BRES2013.

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Deux questions portant sur la cohomologie de degré supérieur ou égal à un des systèmes dynamiques commutatifs multidimensionnels sont abordées dans cette thèse. D'une part, le théorème ergodique pour cocycles de degré deux d'un système dynamique commutatif de dimension supérieure à trois est démontré. Le théorème obtenu apparaît comme la version additive d'un théorème sous additif établi par Kesten dans le contexte particulier du problème de premier passage en percolation à trois dimensions. Il s'applique notamment au réseau cubique de résistances aléatoires de loi conjointe stationnaire, sous l'hypothèse que le logarithme de celles-ci reste borne. On vérifie en effet que la solution de carré intégrable, donne par Papanicolaou et Golden est en fait de puissance p-ieme intégrable, pour un p supérieur à deux. Le théorème ergodique ci-dessus peut alors être appliqué et donne l'existence dans presque tous les états du système, du flux moyen du courant. La récurrence pour les cocycles de degré un d'un système dynamique commutatif multidimensionnel fait l'objet de la seconde partie. Ce problème apparaît essentiel dans la construction du flot spécial associé à ces systèmes dynamiques telle qu'elle est présentée par exemple par Katok
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Bergeron-Legros, Gabriel. "Weil Representation and Central Extensions of Loop Symplectic Groups." Thesis, Université d'Ottawa / University of Ottawa, 2014. http://hdl.handle.net/10393/31516.

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In this thesis, we present the Weil representation over loop symplectic groups. Then we study the question of whether or not the Schrodinger representation and the Weil representation are continuous. Finally, we define a cocycle of the rank 2 symplectic group, adapt Kubota's theorem to this case and verify that it splits over a subgroup.
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Churchill, Indu Rasika U. "Contributions to Quandle Theory: A Study of f-Quandles, Extensions, and Cohomology." Scholar Commons, 2017. http://scholarcommons.usf.edu/etd/6814.

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Quandles are distributive algebraic structures that were introduced by David Joyce [24] in his Ph.D. dissertation in 1979 and at the same time in separate work by Matveev [34]. Quandles can be used to construct invariants of the knots in the 3-dimensional space and knotted surfaces in 4-dimensional space. Quandles can also be studied on their own right as any non-associative algebraic structures. In this dissertation, we introduce f-quandles which are a generalization of usual quandles. In the first part of this dissertation, we present the definitions of f-quandles together with examples, and properties. Also, we provide a method of producing a new f-quandle from a given f-quandle together with a given homomorphism. Extensions of f-quandles with both dynamical and constant cocycles theory are discussed. In Chapter 4, we provide cohomology theory of f-quandles in Theorem 4.1.1 and briefly discuss the relationship between Knot Theory and f-quandles. In the second part of this dissertation, we provide generalized 2,3, and 4- cocycles for Alexander f-quandles with a few examples. Considering “Hom-algebraic Structures” as our nutrient enriched soil, we planted “quandle” seeds to get f-quandles. Over the last couple of years, this f- quandle plant grew into a tree. We believe this tree will continue to grow into a larger tree that will provide future fruit and contributions.
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Schlarmann, Eric [Verfasser], and Bernhard [Akademischer Betreuer] Hanke. "A cocycle model for the equivariant Chern character and differential equivariant K-theory / Eric Schlarmann ; Betreuer: Bernhard Hanke." Augsburg : Universität Augsburg, 2020. http://d-nb.info/1219852554/34.

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Books on the topic "Cocycle"

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Bhat, B. V. Rajarama. Cocycles of CCR flows. Providence, R.I: American Mathematical Society, 2001.

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Duarte, Pedro, and Silvius Klein. Lyapunov Exponents of Linear Cocycles. Paris: Atlantis Press, 2016. http://dx.doi.org/10.2991/978-94-6239-124-6.

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Walkden, Charles Peter. Cocycles in hyperbolic dynamics: Livsic regularity theorems and applications to stable ergodicity. [s.l.]: typescript, 1997.

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Kloeden, Peter E. Nonautonomous dynamical systems. Providence, R.I: American Mathematical Society, 2011.

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Koli︠a︡da, S. F. Dynamics and numbers: A special program, June 1-July 31, 2014, Max Planck Institute for Mathematics, Bonn, Germany : international conference, July 21-25, 2014, Max Planck Institute for Mathematics, Bonn, Germany. Edited by Max-Planck-Institut für Mathematik. Providence, Rhode Island: American Mathematical Society, 2016.

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Farb, Benson, and Dan Margalit. Presentations and Low-dimensional Homology. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691147949.003.0006.

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This chapter presents explicit computations of the first and second homology groups of the mapping class group. It begins with a simple proof, due to Harer, of the theorem of Mumford, Birman, and Powell; the proof includes the lantern relation, a relation in Mod(S) between seven Dehn twists. It then applies a method from geometric group theory to prove the theorem that Mod(Sɡ) is finitely presentable. It also provides explicit presentations of Mod(Sɡ), including the Wajnryb presentation and the Gervais presentation, and gives a detailed construction of the Euler class, the most basic invariant for surface bundles, as a 2-cocycle for the mapping class group of a punctured surface. The chapter concludes by explaining the Meyer signature cocycle and the important connection of this circle of ideas with the theory of Sɡ-bundles.
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Zoller, D. Cocycles, the descent equations, and the Virasoro algebra. 1990.

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Karaliolios, Nikolaos. Global Aspects of the Reducibility of Quasiperiodic Cocycles in Semisimple Compact Lie Groups. Societe Mathematique De France, 2016.

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Book chapters on the topic "Cocycle"

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Jardine, J. F. "Cocycle Categories." In Algebraic Topology, 185–218. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-01200-6_8.

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Carter, Scott, Seiichi Kamada, and Masahico Saito. "Quandle Cocycle Invariants." In Surfaces in 4-Space, 123–66. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-10162-9_4.

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Ungar, Abraham A. "The Cocycle Form." In Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession, 279–311. Dordrecht: Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-010-9122-0_9.

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Feres, Renato. "An Introduction to Cocycle Super-Rigidity." In Rigidity in Dynamics and Geometry, 99–134. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-662-04743-9_5.

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Tabor, Jacek. "Hyers Theorem and the Cocycle Property." In Functional Equations — Results and Advances, 275–90. Boston, MA: Springer US, 2002. http://dx.doi.org/10.1007/978-1-4757-5288-5_22.

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Meester, Ronald. "A note on percolation in cocycle measures." In Institute of Mathematical Statistics Lecture Notes - Monograph Series, 37–46. Beachwood, Ohio, USA: Institute of Mathematical Statistics, 2006. http://dx.doi.org/10.1214/lnms/1196285806.

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Batubenge, Augustin, and Wallace Haziyu. "Symplectic Affine Action and Momentum with Cocycle." In STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health, 119–35. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-97175-9_4.

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Nosaka, Takefumi. "Some of Quandle Cocycle Invariants of Links." In SpringerBriefs in Mathematics, 33–44. Singapore: Springer Singapore, 2017. http://dx.doi.org/10.1007/978-981-10-6793-8_4.

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Clark, W. Edwin, and Masahico Saito. "Algebraic and Computational Aspects of Quandle 2-Cocycle Invariant." In Knots, Low-Dimensional Topology and Applications, 147–62. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-16031-9_6.

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Hochstättler, Winfried, and Martin Loebl. "Bases of cocycle lattices and submatrices of a Hadamard matrix." In Contemporary Trends in Discrete Mathematics, 159–68. Providence, Rhode Island: American Mathematical Society, 1999. http://dx.doi.org/10.1090/dimacs/049/10.

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Conference papers on the topic "Cocycle"

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GHORBAL, ANIS BEN, and FRANCO FAGNOLA. "BOSON COCYCLE AS THE SECOND QUANTIZATION OF THE BOOLEAN COCYCLE." In Proceedings of the 26th Conference. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812770271_0012.

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IWAKIRI, Masahide. "QUANDLE COCYCLE INVARIANTS OF TORUS LINKS." In Intelligence of Low Dimensional Topology 2006 - The International Conference. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812770967_0008.

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3

SATOH, Shin. "SHEET NUMBERS AND COCYCLE INVARIANTS OF SURFACE-KNOTS." In Intelligence of Low Dimensional Topology 2006 - The International Conference. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812770967_0036.

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GOUËZEL, SÉBASTIEN. "SUBADDITIVE COCYCLES AND HOROFUNCTIONS." In International Congress of Mathematicians 2018. WORLD SCIENTIFIC, 2019. http://dx.doi.org/10.1142/9789813272880_0124.

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LIEBSCHER, VOLKMAR. "ISOMETRIC COCYCLES RELATED TO BEAM SPLITTINGS." In Proceedings of the Conference. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704290_0012.

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Greschonig, Gernot. "Real cocycles of point-distal minimal flows." In The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications (Madrid, Spain). American Institute of Mathematical Sciences, 2015. http://dx.doi.org/10.3934/proc.2015.0540.

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Lindsay, J. Martin, and Adam G. Skalski. "Quantum stochastic convolution cocycles –-algebraic and C*-algebraic." In Quantum Probability. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2006. http://dx.doi.org/10.4064/bc73-0-24.

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BHAT, B. V. RAJARAMA, and J. MARTIN LINDSAY. "REGULAR QUANTUM STOCHASTIC COCYCLES HAVE EXPONENTIAL PRODUCT SYSTEMS." In From Foundations to Applications. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812702104_0009.

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Ivanov, Alexey V. "Exponential dichotomy of linear cocycles over irrational rotations." In 2020 Days on Diffraction (DD). IEEE, 2020. http://dx.doi.org/10.1109/dd49902.2020.9274638.

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Stoica, Diana, Mihail Megan, and Dan Ludovic Lemle. "Polynomial stability in mean square of stochastic cocycles in Hilbert spaces." In 11TH INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2013: ICNAAM 2013. AIP, 2013. http://dx.doi.org/10.1063/1.4825841.

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Reports on the topic "Cocycle"

1

Neeb, Karl-Hermann. Lie Algebra Extensions and Higher Order Cocycles. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-5-2006-48-74.

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Jafari, Farhad, Zbigniew Slodkowski, and Thomas Tonev. Semigroups of Operators on Hardy Spaces and Cocycles of Flows. Fort Belvoir, VA: Defense Technical Information Center, April 2008. http://dx.doi.org/10.21236/ada513219.

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