On-device research index

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.

168,657 papers · 148 categories

Trend · papers per month

count % of corpus

← all fields·2 papers on “yang-mills theory” in Differential Geometry · 1 week

Towards General Relativity as a generalized Yang-Mills theorymath-ph

Develops a unified theory of Yang-Mills and GR using generalized principal bundles.

problem Combining Yang-Mills theories and General Relativity into a single framework.

method Using generalized principal bundle theory, the authors develop a new approach to field theories.

result Recover General Relativity within the framework of generalized principal connections.

Yang-Mills theory General Relativity Generalized principal bundles Affine connections Lie group fiber bundles

2026-07-21abs ↗pdf ↗

A Self-Dual Frame Formalism of the SO(3) Yang-Mills Theorymath.DG

A new formalism simplifies SO(3) Yang-Mills theory connections.

problem Simplifying connections in SO(3) Yang-Mills theory.

method Pointwise polar decomposition and field

h

determination.

result Equivalence of Yang-Mills equation to

Φ_g(h)=0

Yang-Mills theory SO(3) connections self-dual curvature Fredholm index elliptic regularity

2026-07-15abs ↗pdf ↗