Results 71 to 80 of about 971 (194)

The mod 2 Seiberg–Witten invariants of spin structures and spin families

Journal of Topology, Volume 19, Issue 4, December 2026.
Abstract We completely determine the mod 2 Seiberg–Witten invariants for any spin structure on any closed, oriented, smooth 4‐manifold X$X$. Our computation confirms the validity of the simple‐type conjecture mod 2 for spin structures. Our proof also works for families of spin 4‐manifolds and thus computes the mod 2 Seiberg–Witten invariants for spin ...
David Baraglia
wiley   +1 more source

Non-commutative differential geometry [PDF]

Publications Mathématiques de l'IHÉS, 1985
In this article, Connes lays the groundwork for a theory of noncommutative differential geometry, i.e. differential geometry for noncommutative algebras generalizing the commutative algebra \({\mathcal C}^{\infty}(M)\) of smooth functions on a compact manifold. The idea of doing topology of noncommutative ''topological spaces'', i.e. \(C^*\)- algebras,
openaire   +2 more sources

Mission‐Aligned Learning‐Informed Control of Autonomous Systems: Formulation and Foundations

Expert Systems, Volume 43, Issue 11, November 2026.
ABSTRACT Research, innovation and practical capital investment have been increasing rapidly toward the realization of autonomous physical agents. This includes industrial and service robots, unmanned aerial vehicles, embedded control devices, and a number of other realizations of cybernetic/mechatronic implementations of intelligent autonomous devices.
Vyacheslav Kungurtsev, Alessandro Di Frenna, Gustav Šír, Monicah Cherop Naibei, Haozhe Tian, Homayoun Hamedmoghadam, Akhil Anand, Sebastien Gros   +7 more
wiley   +1 more source

Nonlocal Lagrangian fields and the second Noether theorem. Non-commutative U(1) gauge theory

Journal of High Energy Physics
This article focuses on three main contributions. Firstly, we provide an in-depth overview of the nonlocal Lagrangian formalism. Secondly, we introduce an extended version of the second Noether’s theorem tailored for nonlocal Lagrangians.
Carlos Heredia, Josep Llosa
doaj   +1 more source

Symmetry‐Guided Multifunctional Acoustic System Based on Mechanically Actuated Sonic Crystals

Advanced Engineering Materials, Volume 28, Issue 19, 7 October 2026.
This study presents the design, simulation, and experimental validation of amultifunctional acoustic metamaterial based on rotationally engineered sonic crystals.By tuning cylinder orientations, controllable band gaps and six distinct functionalities—including switching, topological insulation, beam splitting, and logic operations—areachieved ...
Yuanyan Zhao, Sriram Subramanian, Gianluca Memoli   +2 more
wiley   +1 more source

FIRE‐GNN: Force‐Informed, Relaxed Equivariance Graph Neural Network for Rapid and Accurate Prediction of Surface Properties

Advanced Intelligent Discovery, Volume 2, Issue 5, October 2026.
This study introduces FIRE‐GNN, a force‐informed, relaxed equivariant graph neural network for predicting surface work functions and cleavage energies from slab structures. By incorporating surface‐normal symmetry breaking and machine learning interatomic potential‐derived force information, the approach achieves state‐of‐the‐art accuracy and enables ...
Circe Hsu, Claire Schlesinger, Karan Mudaliar, Jordan Leung, Robin Walters, Peter Schindler   +5 more
wiley   +1 more source

Quantum noncommutative ABJM theory: first steps

Journal of High Energy Physics, 2018
We introduce ABJM quantum field theory in the noncommutative spacetime by using the component formalism and show that it is N $$ \mathcal{N} $$ = 6 supersymmetric. For the U(1) κ × U(1)−κ case, we compute all one-loop 1PI two and three point functions in
Carmelo P. Martin, Josip Trampetic, Jiangyang You   +2 more
doaj   +1 more source

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

Advanced Intelligent Discovery, Volume 2, Issue 5, October 2026.
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

A fuzzy bipolar celestial sphere

Journal of High Energy Physics, 2019
We introduce a non-commutative deformation of the algebra of bipolar spherical harmonics supporting the action of the full Lorentz algebra. Our construction is close in spirit to the one of the non-commutative spherical harmonics associated to the fuzzy ...
Francesco Alessio, Michele Arzano
doaj   +1 more source

On the Limits of a Space‐Time Description and the Physical Meaning of Phase Space in a Nonlocal Continuum

Annalen der Physik, Volume 538, Issue 10, October 2026.
Nonlocal quantum field theory predicts a finite phase‐space resolution, so even highly squeezed quantum states cannot be localized beyond a fundamental nonlocal limit, providing a potential experimental signature of nonlocality. ABSTRACT In a previous paper we derived an uncertainty relation for nonlocal fields by showing that the physical localization
E. J. Thompson
wiley   +1 more source