27 citations · 200 across the 19 of their papers we have counts for
19 papers
Almost Hermitian structures on moduli spaces of non-Abelian monopoles and applications to the topology of symplectic four-manifolds
Paul M. N. Feehan, Thomas G. Leness
This work is a sequel to our previous monograph arXiv:2010.15789 (to appear in AMS Memoirs), where we initiated our program to prove that the Bogomolov-Miyaoka-Yau inequality holds…
Virtual Morse-Bott index, moduli spaces of pairs, and applications to topology of smooth four-manifolds
Paul M. N. Feehan, Thomas G. Leness
We previously developed an approach to Bialynicki-Birula theory for holomorphic actions on complex analytic spaces and the concept of virtual Morse-Bott indices for…
Gluing in geometric analysis via maps of Banach manifolds with corners and applications to gauge theory
Paul M. N. Feehan, Thomas G. Leness
We describe a new approach to the problem of constructing gluing parameterizations for open neighborhoods of boundary points of moduli spaces of anti-self-dual connections over clo…
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…
SO(3)-monopoles: The overlap problem
Paul M. N. Feehan, Thomas G. Leness
The SO(3)-monopole program, initiated by Pidstrigatch and Tyurin [arXiv:dg-ga/9507004], yields a relationship between the Donaldson and Seiberg-Witten invariants through a cobordis…