40 citations · 474 across the 43 of their papers we have counts for
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Energy gap for Yang-Mills connections, I: Four-dimensional closed Riemannian manifolds
Paul M. M. Feehan
We extend an energy gap result due independently to Min-Oo and Parker (1982) for Yang-Mills connections on principal -bundles, , over closed, connected, four-dimensiona…
Global existence and convergence of solutions to gradient systems and applications to Yang-Mills gradient flow
Paul M. N. Feehan
In this monograph, we develop results on global existence and convergence of solutions to abstract gradient flows on Banach spaces for a potential function that obeys the Lojasiewi…
The SO(3) monopole cobordism and superconformal simple type
Paul M. N. Feehan, Thomas G. Leness
We show that the SO(3) monopole cobordism formula from Feehan and Leness (2002) implies that all smooth, closed, oriented four-manifolds with and and odd with S…
Superconformal simple type and Witten's conjecture
Paul M. N. Feehan, Thomas G. Leness
Let be a smooth, closed, connected, orientable four-manifold with and and odd. We show that if has Seiberg-Witten simple type, then the SO(3)-mono…