The extended Bogomolny equations with generalized Nahm pole boundary conditions. II

DOI10.1215/00127094-2020-0009zbMath1501.53025arXiv1806.06314OpenAlexW3035822764MaRDI QIDQ2217881

Siqi He, Rafe R. Mazzeo

Publication date: 12 January 2021

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.06314

zbMATH Keywords

Kobayashi-Hitchin correspondenceHitchin equationsextended Bogomolny equationsKasputin-Witten equationsZbl. 1427.53026

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Moduli problems for differential geometric structures (58D27) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07)

Related Items

Opers and the twisted Bogomolny equations ⋮ Supersymmetry of the D3/D5 defect field theory ⋮ The Hitchin-Kobayashi correspondence for holomorphic pairs over non-Kähler manifolds ⋮ Moduli spaces of Higgs bundles - old and new

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the solutions of generalized Bogomolny equations
• Stable bundles and integrable systems
• Fivebranes and knots
• A link invariant from the symplectic geometry of nilpotent slices
• Electric-magnetic duality and the geometric Langlands program
• Infinite determinants, stable bundles and curvature
• Flat G-bundles with canonical metrics
• Boundary value problems for Yang-Mills fields
• Lie groups and Teichmüller space
• Instantons on cylindrical manifolds and stable bundles
• Yang-Mills fields on cylindrical manifolds and holomorphic bundles. II
• Knot invariants from four-dimensional gauge theory
• \(G_{2}\)-instantons over asymptotically cylindrical
• The extended Bogomolny equations and generalized Nahm pole boundary condition
• Nilpotent slices, Hilbert schemes, and the Jones polynomial
• Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles
• The Nahm Pole Boundary Condition
• The Self-Duality Equations on a Riemann Surface
• Twisted Harmonic Maps and the Self-Duality Equations
• Constructing Variations of Hodge Structure Using Yang-Mills Theory and Applications to Uniformization
• Elliptic theory of differential edge operators I
• Hermitian Yang–Mills metrics on reflexive sheaves over asymptotically cylindrical Kähler manifolds
• On the existence of hermitian-yang-mills connections in stable vector bundles
• Moduli Spaces of Singular Yamabe Metrics
• Morrey-Campanato Spaces: an Overview
• A gluing theorem for the Kapustin–Witten equations with a Nahm pole
• BPS spectra and 3-manifold invariants
• Atiyah-Floer conjecture: A formulation, a strategy of proof and generalizations
• Two Lectures On The Jones Polynomial And Khovanov Homology
• The universal Kobayashi-Hitchin correspondence on Hermitian manifolds
• Inverses of Cartan matrices of Lie algebras and Lie superalgebras

This page was built for publication: The extended Bogomolny equations with generalized Nahm pole boundary conditions. II