Seiberg-Witten monopoles and flat \(\operatorname{PSL}(2, \mathbb{R})\)-connections

DOI10.1016/j.aim.2022.108686OpenAlexW3001509737WikidataQ114211404 ScholiaQ114211404MaRDI QIDQ2089657

Andriy Haydys

Publication date: 24 October 2022

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.07589

zbMATH Keywords

gauge theoryrepresentation varietiesSeiberg-Witten

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Applications of global analysis to structures on manifolds (57R57) Spin and Spin({}^c) geometry (53C27) Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants) (14J80) Invariants of 4-manifolds (including Donaldson and Seiberg-Witten invariants) (57K41)

Related Items (1)

The branched deformations of the special Lagrangian submanifolds

Cites Work

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• Moduli spaces over manifolds with involutions
• The infinitesimal multiplicities and orientations of the blow-up set of the Seiberg-Witten equation with multiple spinors
• Link homology and equivariant gauge theory
• On the existence of a connection with curvature zero
• Reduction Theorem for Connections and its Application to the Problem of Isotropy and Holonomy Groups of a Riemannian Manifold
• The Self-Duality Equations on a Riemann Surface
• Twisted Harmonic Maps and the Self-Duality Equations

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