Donaldson wall-crossing formulas via topology. (English) Zbl 0923.57008
The author studies the wall-crossing formula for Donaldson invariants of simply connected, smooth four-manifolds with \(b^{+}=1\). He proves that the wall-crossing formula is a topological invariant of the manifold for reducible connections with two or fewer singular points. The explicit formulas are derived and it is shown that they agree with those of Ellingsrud and Göttsche and Friedman and Qin for algebraic manifolds.
Reviewer: Viktor Abramov (Tartu)
MSC:
| 57R55 | Differentiable structures in differential topology |
| 57N13 | Topology of the Euclidean \(4\)-space, \(4\)-manifolds (MSC2010) |
| 57R57 | Applications of global analysis to structures on manifolds |
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