3 papers
math.DG1999
PU(2) monopoles. III: Existence of gluing and obstruction maps
Paul M. N. Feehan, Thomas G. Leness
This is the third installment in our series of articles (dg-ga/9712005, dg-ga/9710032) on the application of the PU(2) monopole equations to prove Witten's conjecture (hep-th/94111…
math.DG1998
Donaldson invariants and wall-crossing formulas. I: Continuity of gluing maps
Paul M. N. Feehan, Thomas G. Leness
The present article is the first in a series whose ultimate goal is to prove the Kotschick-Morgan conjecture concerning the wall-crossing formula for the Donaldson invariants of a…
dg-ga1997
Uhlenbeck compactness and transversality for the moduli space of PU(2) monopoles
Paul M. N. Feehan, Thomas G. Leness
This research announcement gives a brief report of the main results in our paper "PU(2) monopoles, I: Regularity, Uhlenbeck compactness, and transversality" (Journal of Differentia…