A Smooth Compactification of the Moduli Space of Instantons and Its Application

Abstract

A smooth compactification of Donaldson moduli spaces is given. As an application, we use this new space to study the wall-crossing formula and prove the Kotschick-Morgan conjecture.

65 pages

References in corpus (2)

• An SO(3)-monopole cobordism formula relating Donaldson and Seiberg-Witten invariants
• Equivariant Cohomology and Wall Crossing Formulas in Seiberg-Witten Theory