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The KW equations and the Nahm pole boundary condition with knots

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Publication:2208311
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DOI10.4310/CAG.2020.V28.N4.A4zbMath1456.81311arXiv1712.00835OpenAlexW3090391606MaRDI QIDQ2208311

Rafe R. Mazzeo

Publication date: 2 November 2020

Published in: Communications in Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.00835



Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Yang-Mills and other gauge theories in quantum field theory (81T13) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Surgery and handlebodies (57R65) Knot theory (57K10) Relations of manifolds and cell complexes with physics (57Z05)


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Construction of exact solutions to Nahm’s equations for the multimonopole ⋮ Opers and the twisted Bogomolny equations ⋮ The index formula for families of Dirac type operators on pseudomanifolds ⋮ Supersymmetry of the D3/D5 defect field theory ⋮ On BPS strings in \(\mathcal{N} = 4\) Yang-Mills theory ⋮ Moduli spaces of Higgs bundles - old and new ⋮ The Kapustin-Witten equations on ALE and ALF gravitational instantons







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