Results 61 to 70 of about 90,797 (173)

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

Higher dimensional quantum Hall effect as A-class topological insulator

Nuclear Physics B, 2014
We perform a detail study of higher dimensional quantum Hall effects and A-class topological insulators with emphasis on their relations to non-commutative geometry.
Kazuki Hasebe
doaj   +1 more source

Approximate treatment of noncommutative curvature in quartic matrix model

Journal of High Energy Physics, 2023
We study a Hermitian matrix model with the standard quartic potential amended by a tr(RΦ2) term for fixed external matrix R. This is motivated by a curvature term in the truncated Heisenberg algebra formulation of the Grosse-Wulkenhaar model — a ...
D. Prekrat, D. Ranković, N. K. Todorović-Vasović, S. Kováčik, J. Tekel   +4 more
doaj   +1 more source

Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons

Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1151-1298, May 2026.
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley   +1 more source

Non-commutative geometry, dynamics, and infinity-adic Arakelov geometry [PDF]

, 2003
In Arakelov theory a completion of an arithmetic surface is achieved by enlarging the group of divisors by formal linear combinations of the ``closed fibers at infinity''.
Consani, Caterina, Marcolli, Matilde
core   +1 more source

On the finite generation of ideals in tensor triangular geometry

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract Inspired by Cohen's characterization of Noetherian commutative rings, we study the finite generation of ideals in tensor triangular geometry. In particular, for an essentially small tensor triangulated category K$\mathcal {K}$ with weakly Noetherian spectrum, we show that every prime ideal in K$\mathcal {K}$ can be generated by finitely many ...
Tobias Barthel
wiley   +1 more source

Non-commutative Geometry Modified Non-Gaussianities of Cosmological Perturbation

, 2008
We investigate the noncommutative effect on the non-Gaussianities of primordial cosmological perturbation. In the lowest order of string length and slow-roll parameter, we find that in the models with small speed of sound the noncommutative modifications
Chen, Bin, Fang, Kejie, Xue, Wei
core   +1 more source

A note on relative Gelfand–Fuks cohomology of spheres

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract We study the Gelfand–Fuks cohomology of smooth vector fields on Sd$\mathbb {S}^d$ relative to SO(d+1)$\mathrm{SO}(d+1)$ following a method of Haefliger that uses tools from rational homotopy theory. In particular, we show that H∗(BSO(4);R)$H^*(\mathrm{B}\mathrm{SO}(4);\mathbb {R})$ injects into the relative Gelfand–Fuks cohomology which ...
Nils Prigge
wiley   +1 more source

Gravity, Non-Commutative Geometry and the Wodzicki Residue

, 1993
We derive an action for gravity in the framework of non-commutative geometry by using the Wodzicki residue. We prove that for a Dirac operator $D$ on an $n$ dimensional compact Riemannian manifold with $n\geq 4$, $n$ even, the Wodzicki residue Res$(D^{-n+
Berline, Chamseddine, Chamseddine, Chamseddine, Chamseddine, Chamseddine, Connes, Connes, Connes, Connes, Connes, Coquereaux, Coquereaux, Coquereaux, Dixmier, Gilkey, Häußling, Häußling, Kalau, Kastler, Kastler, Kastler, M Walze, Papadopoulos, Varilly, W Kalau, Wodzicki   +26 more
core   +2 more sources

Measuring birational derived splinters

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract This work is concerned with categorical methods for studying singularities. Our focus is on birational derived splinters, which is a notion that extends the definition of rational singularities beyond varieties over fields of characteristic zero. Particularly, we show that an invariant called ‘level’ in the associated derived category measures
Timothy De Deyn, Pat Lank, Kabeer Manali Rahul, Sridhar Venkatesh   +3 more
wiley   +1 more source