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Irreducibility of moduli space of harmonic 2-spheres in S4
Authors:Bonaventure Loo
Institution:(1) Department of Mathematics, National University of Singapore, 119260 Singapore, Republic of Singapore
Abstract:In this paper we prove that fordge3, the moduli spaces of degreed branched superminimal immersions of the 2-sphere intoS 4 has 2 irreducible components. Consequently, the moduli space of degreed harmonic 2-spheres inS 4 has 3 irreducible components.
Keywords:harmonic maps  superminimal surfaces  moduli space
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