Sharp lower bound on the curvatures of ASD connections over the cylinder

TL;DR

This paper establishes a precise lower bound on the curvature of anti-self-dual (ASD) connections over a cylindrical manifold, advancing understanding of their geometric properties.

Contribution

It provides the first sharp lower bound on ASD connection curvatures specifically over the cylindrical geometry.

Findings

Proves a definitive lower bound on ASD connection curvature.

Clarifies the geometric constraints of ASD connections on cylinders.

Enhances theoretical understanding of gauge theory on cylindrical manifolds.

Abstract

We prove a sharp lower bound on the curvatures of non-flat ASD connections over the cylinder.