Donaldson Wall-Crossing Invariants Via Topology

Mathematics – Differential Geometry

Scientific paper

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25 pages, AMS-TeX, no figures

Scientific paper

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.

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