Results 11 to 20 of about 29,198 (203)
Flows: cocyclic and almost cocyclic
Theory and Applications of Categories, 2011 The paper studies flows from the point of view of the category theory. A flow is regarded as the category whose objects are pairs \((X,t)\) where \(X\) is a compact Hausdorff space and \(t:X\to X\) is an automorphism. Using the closed structure on the category of uniform spaces, a flow gives rise, by iteration, to an action of the integers on the ...
Barr, Michael +2 more
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Local rigidity for cocycles [PDF]
Surveys in Differential Geometry, 2003 In this paper we study perturbations of constant cocycles for actions of higher rank semi-simple algebraic groups and their lattices. Roughly speaking, for ergodic actions, Zimmer's cocycle superrigidity theorems implies that the perturbed cocycle is measurably conjugate to a constant cocycle modulo a compact valued cocycle.
Fisher, David, Margulis, G. A.
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Quantum stochastic convolution cocycles III [PDF]
Mathematische Annalen, 2005 Schuermann's theory of quantum Levy processes, and more generally the theory of quantum stochastic convolution cocycles, is extended to the topological context of compact quantum groups and operator space coalgebras. Quantum stochastic convolution cocycles on a C*-hyperbialgebra, which are Markov-regular, completely positive and contractive, are shown ...
Lindsay, J. Martin, Skalski, Adam G.
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Poisson-Lie U-duality in exceptional field theory
Journal of High Energy Physics, 2020 Poisson-Lie duality provides an algebraic extension of conventional Abelian and non-Abelian target space dualities of string theory and has seen recent applications in constructing quantum group deformations of holography.
Emanuel Malek, Daniel C. Thompson
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On uniform polynomial splitting of variational nonautonomous difference equations in Banach spaces
Annals of the West University of Timisoara: Mathematics and Computer Science, 2022 In this paper we consider a concept of uniform polynomial splitting for a discrete cocycle over a discrete semiflow in Banach spaces. We obtain some characterizations of Datko type and also in terms of Lyapunov functions. The study is made from the point
Biriş Larisa Elena +3 more
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Anomaly in RTT relation for DIM algebra and network matrix models
Nuclear Physics B, 2017 We discuss the recent proposal of arXiv:1608.05351 about generalization of the RTT relation to network matrix models. We show that the RTT relation in these models is modified by a nontrivial, but essentially abelian anomaly cocycle, which we explicitly ...
Hidetoshi Awata +6 more
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Group-theoretic Johnson classes and a non-hyperelliptic curve with torsion Ceresa class [PDF]
Épijournal de Géométrie Algébrique, 2023 Let l be a prime and G a pro-l group with torsion-free abelianization. We produce group-theoretic analogues of the Johnson/Morita cocycle for G -- in the case of surface groups, these cocycles appear to refine existing constructions when l=2.
Dean Bisogno +3 more
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Schwinger Terms and Cohomology of Pseudodifferential Operators [PDF]
, 1994 We study the cohomology of the Schwinger term arising in second quantization of the class of observables belonging to the restricted general linear algebra. We prove that, for all pseudodifferential operators in 3+1 dimensions of this type, the Schwinger
A. Connes +38 more
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Topology and its Applications, 2019 We incorporate quandle cocycle information into the quandle coloring quivers we defined in arXiv:1807.10465 to define weighted directed graph-valued invariants of oriented links we call \textit{quandle cocycle quivers}. This construction turns the quandle cocycle invariant into a small category, yielding a categorification of the quandle ...
Cho, Karina, Nelson, Sam
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On the K-theory of twisted higher-rank-graph C*-algebras [PDF]
, 2012 We investigate the K-theory of twisted higher-rank-graph algebras by adapting parts of Elliott's computation of the K-theory of the rotation algebras.
Aidan Sims +24 more
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