Results 31 to 40 of about 29,198 (203)
Eta cocycles, relative pairings and the Godbillon-Vey index theorem
, 2011 We prove a Godbillon-Vey index formula for longitudinal Dirac operators on a foliated bundle with boundary; in particular, we define a Godbillon-Vey eta invariant on the boundary-foliation; this is a secondary invariant for longitudinal Dirac operators ...
Moriyoshi, Hitoshi, Piazza, Paolo
core +1 more source
Lifting via cocycle deformation [PDF]
Journal of Pure and Applied Algebra, 2014 We develop a strategy to compute all liftings of a Nichols algebra over a finite dimensional cosemisimple Hopf algebra. We produce them as cocycle deformations of the bosonization of these two. In parallel, we study the shape of any such lifting.
Andruskiewitsch, Nicolás +4 more
openaire +4 more sources
Algebraic Properties of Quandle Extensions and Values of Cocycle Knot Invariants
, 2016 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 $2$-cocycle is constant, or takes some other restricted form, for classical knots ...
Clark, W. Edwin, Saito, Masahico
core +1 more source
On Exponential Trichotomy of Cocycles over Semiflows
Annals of the West University of Timisoara: Mathematics and Computer Science, 2014 The paper considers a concept of exponential trichotomy for cocycles over semiflows in Banach spaces and as a particular case the corresponding dichotomy concept.
Biriş Larisa, Retezan Raluca
doaj +1 more source
Cosmological Perturbations in Double Field Theory
Journal of High Energy Physics, 2023 We explore perturbative double field theory about time-dependent (cosmological) backgrounds to cubic order. To this order the theory is consistent in a weakly constrained sense, so that for a toroidal geometry it encodes both momentum and genuine winding
Olaf Hohm, Allison F. Pinto
doaj +1 more source
Cocyclic Development of Designs [PDF]
Journal of Algebraic Combinatorics, 1993 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Horadam, K. J., de Launey, W.
openaire +2 more sources
Fortschritte der Physik, Volume 74, Issue 4, April 2026.ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré +4 more
wiley +1 more source
Extended Bargmann FDA and non-relativistic gravity
Nuclear Physics BIn this paper we consider the construction of a free differential algebra as an extension of the extended Bargmann algebra in arbitrary dimensions. This is achieved by introducing a new Maurer-Cartan equation for a three-form gauge multiplet in the ...
Ariana Muñoz +2 more
doaj +1 more source
International Journal of Mathematics and Mathematical Sciences, 2003 We show that a cocycle, which is nothing but a generalized random walk with index set ℤd, with bounded step sizes is recurrent whenever its associated random entropy is zero, and transient whenever its associated random entropy is positive.
Karma Dajani, Ronald Meester
doaj +1 more source
Universal gap growth for Lyapunov exponents of perturbed matrix products
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract We study the quantitative simplicity of the Lyapunov spectrum of d$d$‐dimensional bounded matrix cocycles subjected to additive random perturbations. In dimensions 2 and 3, we establish explicit lower bounds on the gaps between consecutive Lyapunov exponents of the perturbed cocycle, depending only on the scale of the perturbation.
Jason Atnip +3 more
wiley +1 more source