Non-abelian Seiberg-Witten theory and projectively stable pairs

1996/09/26 by Andrei Teleman, Teleman, Andrei · 2 citations
Mathematics · #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Geometric and Algebraic Topology #Geometry and complex manifolds #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.alg-geom/9609020

openalex publication_date 1996/09/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce the concept of Spin^G-structure in a SO-bundle, where G⊂ U(V) is a compact Lie group containing -id_V. We study and classify Spin^G(4)-structures on 4-manifolds, we introduce the G-Monopole equations associated with a Spin^G-structure. On Kaehler surfaces a Kobayashi-Hitchin correspondence can be proved for the corresponding moduli spaces. Using this complex geometric interpretation, we determine explicitely a moduli space of "PU(2)-Monopoles" on ¶², we describe its Uhlenbeck compactification, as well as the Donaldson- and the abelian locus.

Cited by

• Duality and Topological Quantum Field Theory
• Duality in the Context of Topological Quantum Field Theory

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