Donaldson Wall-Crossing Invariants Via Topology

Abstract

The wall-crossing formula for Donaldson invariants of smooth, simply connected four manifolds with $b^{+}=1$ is shown to be a topological invariant of the manifold for reducible connections with two or fewer singular points. The explicit formulas derived agree with those of Ellingsrud and Gottische and Friedman and Qin for algebraic manifolds.

25 pages, AMS-TeX, no figures

References in corpus (3)

• Localisation of the Donaldson's invariants along Seiberg-Witten classes
• Non-abelian monopoles and vortices
• Flips of moduli spaces and transition formulas for Donaldson polynomial invariants of rational surfaces

Cited by in corpus (1)

• SO(3) Monopoles, Level-One Seiberg-Witten Moduli Spaces, and Witten's Conjecture in Low Degrees