Abelian monopoles and complex geometry

DOI10.1007/BF02675078zbMath1140.57303WikidataQ126211812 ScholiaQ126211812MaRDI QIDQ1569785

N. A. Tyurin

Publication date: 9 July 2000

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

symplectic geometry4-manifoldSeiberg-Witten invariantalmost complex geometryTaubes conjectureTaubes theorem

Mathematics Subject Classification ID

Applications of global analysis to structures on manifolds (57R57) Spin and Spin({}^c) geometry (53C27)

Cites Work

• Monopoles and four-manifolds
• The genus of embedded surfaces in the projective plane
• The Seiberg-Witten invariants and symplectic forms
• Four-manifolds without symplectic structures but with nontrivial Seiberg-Witten invariants
• Necessary and sufficient conditions for a deformation of a B-monopole into an instanton
• The Seiberg-Witten equations and 4-manifold topology
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