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Donaldson Wall-Crossing Invariants Via Topology

1996/03/26 by Thomas G. Leness, Leness, Thomas
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.dg-ga/9603016

openalex publication_date 1996/03/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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