Results 21 to 30 of about 167 (143)

On the Meaning of Localization in Non‐Local Quantum Field Theory

Annalen der Physik, Volume 538, Issue 6, June 2026.
In non‐local quantum field theory nature does not necessarily allow objects or events to be localized to exact mathematical points. Instead any physical measurement has a built‐in finite resolution set by the non‐locality scale. Spacetime remains continuous and Lorentz‐covariant, but below this scale pointlike localization becomes an idealization ...
E. J. Thompson
wiley   +1 more source

The singularity category and duality for complete intersection groups

Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract If G$G$ is a finite group, the structure of the modular representation theory depends on the cochains C∗(BG;k)$C^*(BG; k)$, viewed as a commutative ring spectrum. We consider here its singularity category (in the sense of the author and Stevenson [Adv. Math.
J. P. C. Greenlees
wiley   +1 more source

Non-commutative complex differential geometry

Journal of Geometry and Physics, 2013
This paper defines and examines the basic properties of noncommutative analogues of almost complex structures, integrable almost complex structures, holomorphic curvature, cohomology, and holomorphic sheaves. The starting point is a differential structure on a noncommutative algebra defined in terms of a differential graded algebra. This is compared to
Beggs, Edwin, Smith, S. Paul
openaire   +5 more sources

On the cohomology of finite‐dimensional nilpotent groups and Lie rings

Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract We establish vanishing results for the first cohomology group of nilpotent groups and Lie rings when the submodule of invariants is trivial. Our results are obtained within a model‐theoretic setting, namely for structures that are definable in a finite‐dimensional theory, which encompasses algebraic groups over algebraically closed fields ...
Samuel Zamour
wiley   +1 more source

Quantum Frustration as a Protection Mechanism in Non‐Topological Majorana Qubits

Annalen der Physik, Volume 538, Issue 4, April 2026.
Quantum frustration is proposed as a robust protection mechanism for non‐topological ‐junction qubit. By leveraging distinct spatial profiles, co‐located Majorana modes couple to independent environments, creating incompatible pointer bases that suppress decoherence.
E. Novais
wiley   +1 more source

Differentials of Higher Order in Noncommutative Differential Geometry

Letters in Mathematical Physics, 1997
In differential geometry, the notation d^n f along with the corresponding formalism has fallen into disuse since the birth of exterior calculus. However, differentials of higher order are useful objects that can be interpreted in terms of functions on iterated tangent bundles (or in terms of jets).
openaire   +3 more sources

Comparison between two differential graded algebras in noncommutative geometry [PDF]

Proceedings - Mathematical Sciences, 2019
Starting with a spectral triple one can associate two canonical differential graded algebras (dga) defined by Connes and Fröhlich et al. For the classical spectral triples associated with compact Riemannian spin manifolds both these dgas coincide with the de-Rham dga.
Chakraborty, Partha Sarathi, Guin, Satyajit   +1 more
openaire   +3 more sources

Closed Form Relations and Higher‐Order Approximations of First and Second Derivatives of the Tangent Operator on SE(3)

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 4, April 2026.
ABSTRACT The Lie group SE3$SE\left(3\right)$ of isometric orientation‐preserving transformation is used for modeling multibody systems, robots, and Cosserat continua. The use of these models in numerical simulation and optimization schemes necessitates the exponential map, its right‐trivialized differential (often referred to as the tangent operator ...
Andreas Müller
wiley   +1 more source

31Lectures on Noncommutative Geometry

Acta Polytechnica, 2008
We present a short overview of noncommutative geometry. Starting with C* algebras and noncommutative differential forms we pass to K-theory, K-homology and cyclic (co)homology, and we finish with the notion of spectral triples and the spectral action.
A. Sitarz
doaj  

Metric perturbations in noncommutative gravity

Journal of High Energy Physics
We use the framework of Hopf algebra and noncommutative differential geometry to build a noncommutative (NC) theory of gravity in a bottom-up approach.
Nikola Herceg, Tajron Jurić, Andjelo Samsarov, Ivica Smolić   +3 more
doaj   +1 more source