Monopoles and maps fromS 2 toS 2; the topology of the configuration space期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Monopoles and maps fromS 2 toS 2; the topology of the configuration space

Authors:	Clifford Henry Taubes

Institution:	(1) Department of Mathematics, University of California, 94720 Berkeley, CA, USA

Abstract:	The configuration space for the SU(2)-Yang-Mills-Higgs equations on ³ is shown to be homotopic to the space of smooth maps fromS ² toS ². This configuration space indexes a family of twisted Dirac operators. The Dirac family is used to prove that the configuration space does not retract onto any subspace on which the SU(2)-Yang-Mills-Higgs functional is bounded.National Science Foundation Postdoctoral Fellow in Mathematics

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