A TOPOLOGICAL LAGRANGIAN FOR MONOPOLES ON FOUR-MANIFOLDS

Abstract

We present a topological quantum field theory which corresponds to the moduli problem associated to Witten's monopole equations for four-manifolds. The construction of the theory is carried out in purely geometrical terms using the Mathai-Quillen formalism, and the corresponding observables are described. These provide a rich set of new topological quantites.

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References in corpus (11)

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Cited by in corpus (9)

• Mathai-Quillen Formulation of Twisted N=4 Supersymmetric Gauge Theories in Four Dimensions
• Polynomial Invariants for SU(2) Monopoles
• Non-Abelian Monopoles on Four-Manifolds
• Topological Quantum Field Theory and Seiberg-Witten Monopoles
• Cohomological Localization of $\mathcal{N}=2$ Gauge Theories with Matter
• Euler number of Instanton Moduli space and Seiberg-Witten invariants
• BRST Formulation of 4-Monopoles
• Dimensional Reduction of Seiberg-Witten Monopole Equations, N=2 Noncommutative Supersymmetric Field Theories and Young Diagrams
• A topological quantum field theory for $\mathrm{Spin}(7)$-instantons