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- Nahm_equations abstract "The Nahm equations are a system of ordinary differential equations introduced by Werner Nahm in the context of the Nahm transform – an alternative to Ward's twistor construction of monopoles. The Nahm equations are formally analogous to the algebraic equations in the ADHM construction of instantons, where finite order matrices are replaced by differential operators. Deep study of the Nahm equations was carried out by Nigel Hitchin and Simon Donaldson. Conceptually, the equations arise in the process of infinite-dimensional hyperkähler reduction. Among their many applications we can mention: Hitchin's construction of monopoles, where this approach is critical for establishing nonsingularity of monopole solutions; Donaldson's description of the moduli space of monopoles; and the existence of hyperkähler structure on coadjoint orbits of complex semisimple Lie groups, proved by Peter Kronheimer, Olivier Biquard, and A.G. Kovalev.".
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- Nahm_equations wikiPageWikiLink ADHM_construction.
- Nahm_equations wikiPageWikiLink Bogomolny_equation.
- Nahm_equations wikiPageWikiLink Bogomolny_equations.
- Nahm_equations wikiPageWikiLink Category:Differential_equations.
- Nahm_equations wikiPageWikiLink Category:Equations_of_physics.
- Nahm_equations wikiPageWikiLink Category:Integrable_systems.
- Nahm_equations wikiPageWikiLink Category:Mathematical_physics.
- Nahm_equations wikiPageWikiLink Coadjoint_orbit.
- Nahm_equations wikiPageWikiLink Coadjoint_representation.
- Nahm_equations wikiPageWikiLink Hyperkähler_manifold.
- Nahm_equations wikiPageWikiLink Hyperkähler_reduction.
- Nahm_equations wikiPageWikiLink Instanton.
- Nahm_equations wikiPageWikiLink Lax_form.
- Nahm_equations wikiPageWikiLink Lax_pair.
- Nahm_equations wikiPageWikiLink Levi-Civita_symbol.
- Nahm_equations wikiPageWikiLink Mathematische_Annalen.
- Nahm_equations wikiPageWikiLink Moduli_space.
- Nahm_equations wikiPageWikiLink Monopole_(mathematics).
- Nahm_equations wikiPageWikiLink Nigel_Hitchin.
- Nahm_equations wikiPageWikiLink Ordinary_differential_equation.
- Nahm_equations wikiPageWikiLink Peter_B._Kronheimer.
- Nahm_equations wikiPageWikiLink Peter_Kronheimer.
- Nahm_equations wikiPageWikiLink Quarterly_Journal_of_Mathematics.
- Nahm_equations wikiPageWikiLink Richard_S._Ward.
- Nahm_equations wikiPageWikiLink SU(2).
- Nahm_equations wikiPageWikiLink Semisimple_Lie_algebra.
- Nahm_equations wikiPageWikiLink Semisimple_Lie_group.
- Nahm_equations wikiPageWikiLink Simon_Donaldson.
- Nahm_equations wikiPageWikiLink Special_unitary_group.
- Nahm_equations wikiPageWikiLink Twistor_space.
- Nahm_equations wikiPageWikiLink Twistor_theory.
- Nahm_equations wikiPageWikiLink Werner_Nahm.
- Nahm_equations wikiPageWikiLink Yang–Mills–Higgs_equations.
- Nahm_equations wikiPageWikiLinkText "Nahm equations".
- Nahm_equations wikiPageWikiLinkText "Nahm–Hitchin description of monopoles".
- Nahm_equations hasPhotoCollection Nahm_equations.
- Nahm_equations wikiPageUsesTemplate Template:Cite_book.
- Nahm_equations wikiPageUsesTemplate Template:Cite_journal.
- Nahm_equations wikiPageUsesTemplate Template:Cite_paper.
- Nahm_equations subject Category:Differential_equations.
- Nahm_equations subject Category:Equations_of_physics.
- Nahm_equations subject Category:Integrable_systems.
- Nahm_equations subject Category:Mathematical_physics.
- Nahm_equations hypernym System.
- Nahm_equations type Article.
- Nahm_equations type Model.
- Nahm_equations type Article.
- Nahm_equations type Model.
- Nahm_equations type Physic.
- Nahm_equations comment "The Nahm equations are a system of ordinary differential equations introduced by Werner Nahm in the context of the Nahm transform – an alternative to Ward's twistor construction of monopoles. The Nahm equations are formally analogous to the algebraic equations in the ADHM construction of instantons, where finite order matrices are replaced by differential operators. Deep study of the Nahm equations was carried out by Nigel Hitchin and Simon Donaldson.".
- Nahm_equations label "Nahm equations".
- Nahm_equations sameAs 남_방정식.
- Nahm_equations sameAs m.02qdjw_.
- Nahm_equations sameAs Q6959295.
- Nahm_equations sameAs Q6959295.
- Nahm_equations wasDerivedFrom Nahm_equations?oldid=628532197.
- Nahm_equations isPrimaryTopicOf Nahm_equations.