Characteristic classes via 4-dimensional gauge theory

Abstract

We construct characteristic classes of 4-manifold bundles using $SO(3)$-Yang-Mills theory and Seiberg-Witten theory for families.

48 pages

References in corpus (5)

• Family Floer cohomology and mirror symmetry
• A gluing formula for families Seiberg-Witten invariants
• Obstructions to smooth group actions on 4-manifolds from families Seiberg-Witten theory
• Dissolving four-manifolds and positive scalar curvature
• Positive scalar curvature and higher-dimensional families of Seiberg-Witten equations

Cited by in corpus (4)

• Obstructions to smooth group actions on 4-manifolds from families Seiberg-Witten theory
• Rigidity of the mod 2 families Seiberg-Witten invariants and topology of families of spin 4-manifolds
• Positive scalar curvature and higher-dimensional families of Seiberg-Witten equations
• The homology of moduli spaces of 4-manifolds may be infinitely generated