A splitting formula in instanton Floer homology

DOI10.1090/PSPUM/109/02001MaRDI QIDQ6630215

Nima Anvari

Publication date: 30 October 2024

zbMATH Keywords

Seiberg-Witten invariantsplitting formulaFrøyshov invariantsmooth \(4\)-manifoldreduced instanton Floer homology.

Mathematics Subject Classification ID

Applications of global analysis to structures on manifolds (57R57) Floer homology (57R58) Invariants of 3-manifolds (including skein modules, character varieties) (57K31)

Cites Work

• Monopole Floer homology for rational homology 3-spheres
• Seiberg-Witten equations, end-periodic Dirac operators, and a lift of Rohlin's invariant
• Differentiable structures on punctured 4-manifolds
• Invariants for homology 3-spheres
• An inequality for the \(h\)-invariant in instanton Floer theory.
• Equivariant aspects of Yang-Mills Floer theory
• A splitting theorem for the Seiberg-Witten invariant of a homology \(S^1\times S^3\)
• Rohlin's invariant and gauge theory. II: Mapping tori
• Rohlin's invariant and gauge theory. I: Homology 3-tori
• Instanton Homology of Seifert Fibred Homology Three Spheres

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