Donaldson invariants of non-simple type 4-manifolds

DOI10.1016/S0040-9383(00)00048-3zbMATH Open1003.57037arXivmath/9909165OpenAlexW2008521811MaRDI QIDQ1601661

Vicente Muñoz

Publication date: 27 June 2002

Published in: Topology (Search for Journal in Brave)

Abstract: We find the shape of the Donaldson invariants of a 4-manifold with b_1=0 and b^+>1, which may be not of simple type. The invariants appear as the q^0 coefficient of a expression given in terms of modular forms (as was predicted by Moore and Witten). We re-express the formula using complete elliptic integrals to prove a conjecture of Kronheimer and Mrowka on the Donaldson invariants of non-simple type 4-manifolds.

Full work available at URL: https://arxiv.org/abs/math/9909165

zbMATH Keywords

4-manifoldsmodular formsDonaldson invariants

Mathematics Subject Classification ID

Applications of global analysis to structures on manifolds (57R57) Symplectic aspects of Floer homology and cohomology (53D40)

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