A new gauge-theoretic construction of the 4-dimensional hyperkähler ALE spaces

DOI10.1007/S00208-024-02944-3MaRDI QIDQ6663198

Jiajun Yan

Publication date: 14 January 2025

Published in: Mathematische Annalen (Search for Journal in Brave)

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) General low-dimensional topology (57M99) Momentum maps; symplectic reduction (53D20) Symplectic structures of moduli spaces (53D30) Holomorphic bundles and generalizations (32L05)

Cites Work

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• Moduli of monopole walls and amoebas
• Deformation theory of periodic monopoles (with singularities)
• Hyperkähler metrics and supersymmetry
• The construction of ALE spaces as hyper-Kähler quotients
• A Torelli-type theorem for gravitational instantons
• Singular monopoles and supersymmetric gauge theories in three dimensions
• Singular monopoles and gravitational instantons
• Simply-laced isomonodromy systems
• The Self-Duality Equations on a Riemann Surface
• A Gluing Construction for Periodic Monopoles
• The Yang-Mills equations over Riemann surfaces

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