40 citations · 474 across the 43 of their papers we have counts for
46 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…
Bialynicki-Birula theory, Morse-Bott theory, and resolution of singularities for analytic spaces
Paul M. N. Feehan
Our goal in this work is to develop aspects of Bialynicki-Birula and Morse-Bott theory that can be extended from the classical setting of smooth manifolds to that of complex analyt…
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…
Morse theory for the Yang-Mills energy function near flat connections
Paul M. N. Feehan
A result (Corollary 4.3) in an article by Uhlenbeck (1985) asserts that the -distance between the gauge-equivalence class of a connection and the moduli subspace of fl…
Lojasiewicz--Simon gradient inequalities for the harmonic map energy function
Paul M. N. Feehan, Manousos Maridakis
We apply our abstract gradient inequalities developed by the authors in arXiv:1510.03817 to prove Lojasiewicz--Simon gradient inequalities for the harmonic map energy function usin…