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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,742 papers · 148 categories

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5 results for “F-Yang-Mills”
A Simons type condition for instability of FF-Yang-Mills connectionsmath.DG

Paper extends Simons theorem to FF-Yang-Mills connections for instability.

problem Tackles instability of FF-Yang-Mills connections.
method Extends Simons theorem to FF-Yang-Mills connections using Kobayashi-Ohnita-Takeuchi's method.
result Derives a sufficient condition for instability of non-flat FF-Yang-Mills connections.
Yang-Mills connectionsinstabilityF-Yang-Millssimons theoremEuclidean space
2023-01-11abs ↗pdf ↗
The stability for F-Yang-Mills functional on CP^nmath.DG

The paper studies stability of F-Yang-Mills connections on complex projective spaces.

problem Stability of F-Yang-Mills connections on complex projective spaces.
method Inspired by Lawson-Simons, the paper proves stability conditions and structures for F-Yang-Mills connections.
result Conditions for weakly stable F-Yang-Mills connections on complex projective spaces.
F-Yang-Mills connectionsstabilitycomplex projective spacesYang-Mills stabilitycurvature structures
2025-01-17abs ↗pdf ↗
On Vanishing Theorems For Vector Bundle Valued p-Forms And Their Applicationsmath.DG

Let F:[0,∞)→[0,∞)F: [0, \infty) \to [0, \infty) be a strictly increasing C2C^2 function with F(0)=0F(0)=0. We unify the concepts of FF-harmonic maps, minimal hypersurfaces, maximal spacelike hypersurfaces, and Yang-Mills Fields, and introduce FF-Yang-Mills fields, FF-degree, FF-lower degree, and generalized Yang-Mills-Born-Infeld…

2010-03-19abs ↗pdf ↗
On exponential Yang-Mills fields and pp-Yang-Mills fieldsmath.DG

New energy functional and fields for Yang-Mills theory, proving monotonicity and vanishing theorems.

problem Developing new mathematical tools for Yang-Mills theory.
method Introducing normalized exponential Yang-Mills energy functional, deriving monotonicity formula and vanishing theorem.
result Monotonicity and vanishing theorems for exponential Yang-Mills fields.
Yang-Mills theoryexponential energy functionalmonotonicity formulavanishing theoremp-Yang-Mills fields
2022-05-06abs ↗pdf ↗
Dualities in Comparison Theorems and Bundle-Valued Generalized Harmonic Forms on Noncompact Manifoldsmath.DG

The paper explores dualities in differential equations and their applications in Riemannian geometry.

problem Developing comparison theorems for mixed type differential equations.
method Utilizing dualities in differential equations and inequalities, and applying them to Riemannian geometry.
result Proves Hessian and Laplacian comparison theorems under various curvature assumptions.
differential equationsdifferential geometryRiemannian manifoldscomparison theoremsharmonic forms
2021-04-11abs ↗pdf ↗