From the 1 of 3 linked papers with an AI index.
3 papers
math.DG2026
A Self-Dual Frame Formalism of the SO(3) Yang-Mills Theory
Hanwen Liu
The paper introduces a self‑dual frame formalism for SO(3) Yang‑Mills connections on a closed oriented Riemannian 4‑manifold, replacing gauge freedom with a symmetric matrix field…
math.DG2026
A Note on the Rainich Problem for SU(2) Gauge
Hanwen Liu
We provide a resolution to the non-Abelian Rainich problem. By canonically identifying traceless symmetric -tensors with Hermitian forms on the vector bundle of chiral 2-for…
math-ph2026
On Conservative Statistical Riemann Surfaces
Hanwen Liu
We establish a correspondence between information geometry and gauge theory. First, we define an important class of statistical manifolds, that is normalized and satisfies a conser…