Convergence of adiabatic family of anti-self-dual connections on products of Riemann surfaces

DOI10.1063/1.3318164zbMath1309.53027OpenAlexW2064008180MaRDI QIDQ5246536

Takeo Nishinou

Publication date: 21 April 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3318164

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07)

Related Items (4)

Convergence of Hermitian-Yang-Mills connections on two-dimensional Kähler tori and mirror symmetry ⋮ A compactness theorem for \(SO(3)\) anti-self-dual equation with translation symmetry ⋮ Adiabatic limits of anti-self-dual connections on collapsed \(K3\) surfaces ⋮ Hermitian-Yang-Mills connections on collapsing elliptically fibered \(K3\) surfaces

Cites Work

• Energy identity for anti-self-dual instantons on \(\mathbb C\times\Sigma\)
• Anti-self-dual equation on 4-manifolds with degenerate metric
• Convergence of anti-self-dual connections on \(SU(n)\)-bundles over product of two Riemann surfaces
• Self-dual instantons and holomorphic curves
• Topological reduction of \(4\)D SYM to \(2\)D\(\sigma\)-models
• GLOBAL GAUGE FIXING FOR CONNECTIONS WITH SMALL CURVATURE ON T²
• Removable singularities in Yang-Mills fields

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