Gauge Theory: Instantons, Monopoles, and Moduli Spaces

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dc.creatorRitter, William Gordon
dc.date2003-04-16
dc.date.accessioned2026-07-07T04:29:58Z
dc.date.available2026-07-07T04:29:58Z
dc.descriptionIn this expository review we discuss various aspects of gauge theory. While the focus is on mathematics, wherever possible we make contact with theoretical high energy physics. Particular emphasis is placed on instantons and monopoles, which admit physical interpretation, and yield interesting and nontrivial mathematics. We give a clear and essentially self-contained exposition of the mathematical structure of the Seiberg-Witten monopole equations. Other topics include Donaldson's theorem on moduli spaces of monopoles, compactification of spaces of ASD connections, The Abelian monopole equations, and Abelian Higgs vortices.
dc.description16 pages, no figures
dc.identifierhttps://arxiv.org/abs/math-ph/0304026
dc.identifierhttp://arxiv.org/abs/math-ph/0304026
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57356
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.subjectDifferential Geometry
dc.subject81T13; 53C80
dc.titleGauge Theory: Instantons, Monopoles, and Moduli Spaces
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