Gluing an infinite number of instantons

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dc.creatorTsukamoto, Masaki
dc.date2005-08-01
dc.date2008-03-11
dc.date.accessioned2026-07-07T09:26:00Z
dc.date.available2026-07-07T09:26:00Z
dc.descriptionThis paper is one step toward infinite energy gauge theory and the geometry of infinite dimensional moduli spaces. We generalize a gluing construction in the usual Yang-Mills gauge theory to an ``infinite energy'' situation. We show that we can glue an infinite number of instantons, and that the resulting instantons have infinite energy in general. Moreover we show that they have an infinite dimensional parameter space. Our construction is a generalization of Donaldson's ``alternating method''.
dc.descriptionSome explanations are added
dc.identifierhttps://arxiv.org/abs/math/0508049
dc.identifierhttp://arxiv.org/abs/math/0508049
dc.identifierNagoya Mathematical Journal, Vol. 188 (2007), 107-131
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156599
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject58D27 (Primary), 53C07, 46T05 (Secondary)
dc.titleGluing an infinite number of instantons
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