ASD moduli spaces over four-manifolds with tree-like ends.
Higher degree Galois covers of .
Instantons on cylindrical manifolds and stable bundles.
On a problem of Seiberg and Witten
We describe alternate methods of solution for a model arising in the work of Seiberg and Witten on N = 2 supersymmetric Yang-Mills theory and provide a complete argument for the characterization put forth by Argyres, Faraggi, and Shapere of the curve .
Perturbations of the metric in Seiberg-Witten equations
Let a compact connected oriented 4-manifold. We study the space of -structures of fixed fundamental class, as an infinite dimensional principal bundle on the manifold of riemannian metrics on . In order to study perturbations of the metric in Seiberg-Witten equations, we study the transversality of universal equations, parametrized with all -structures . We prove that, on a complex Kähler surface, for an hermitian metric sufficiently close to the original Kähler metric, the moduli space...
Status report on the instanton counting.
Surface bundles over surfaces of small genus.
The fundamental group of a Galois cover of .