Morse theory for the Yang-Mills functional via equivariant homotopy theory

dc.creatorGritsch, U.
dc.date2001-01-03
dc.date.accessioned2026-07-07T04:39:29Z
dc.date.available2026-07-07T04:39:29Z
dc.descriptionIn this paper we show the existence of non minimal critical points of the Yang-Mills functional over a certain family of 4-manifolds with generic SU(2)-invariant metrics using Morse and homotopy theoretic methods. These manifolds are acted on fixed point freely by the Lie group SU(2) with quotient a compact Riemann surface of even genus. We use a version of invariant Morse theory for the Yang-Mills functional used by Parker and by Rade.
dc.description19 pages, amstex
dc.identifierhttps://arxiv.org/abs/math/0101024
dc.identifierhttp://arxiv.org/abs/math/0101024
dc.identifierTrans.Am.Math.Soc. 352 (2001) 3473-3493
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60686
dc.subjectAlgebraic Topology
dc.subject58E15, 55P91
dc.titleMorse theory for the Yang-Mills functional via equivariant homotopy theory
dc.typetext

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