A conformally invariant gap theorem in Yang-Mills theory
Matthew Gursky, Casey Lynn Kelleher, and Jeffrey Streets

TL;DR
This paper proves a precise conformally invariant gap theorem for Yang-Mills connections in four dimensions, utilizing a related Yamabe-type problem to establish the result.
Contribution
It introduces a novel conformally invariant gap theorem for Yang-Mills connections, connecting it with a Yamabe-type problem in four dimensions.
Findings
Established a sharp conformally invariant gap theorem for Yang-Mills connections.
Linked the gap theorem to a Yamabe-type problem in four dimensions.
Provided new insights into the structure of Yang-Mills moduli spaces.
Abstract
We show a sharp conformally invariant gap theorem for Yang-Mills connections in dimension 4 by exploiting an associated Yamabe-type problem.
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