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Search: MSC category 58D27 ( Moduli problems for differential geometric structures )

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1. CMB 2000 (vol 43 pp. 183)

Ionesei, Gheorghe
 A Gauge Theoretic Proof of the Abel-Jacobi Theorem We present a new, simple proof of the classical Abel-Jacobi theorem using some elementary gauge theoretic arguments. Keywords:Abel-Jacobi theorem, abelian gauge theoryCategories:58D27, 30F99

2. CMB 1997 (vol 40 pp. 285)

Crawford, T. Arleigh
 The space of harmonic maps from the \$2\$-sphere to the complex projective plane In this paper we study the topology of the space of harmonic maps from \$S^2\$ to \$\CP 2\$. We prove that the subspaces consisting of maps of a fixed degree and energy are path connected. By a result of Guest and Ohnita it follows that the same is true for the space of harmonic maps to \$\CP n\$ for \$n\geq 2\$. We show that the components of maps to \$\CP 2\$ are complex manifolds. Categories:58E20, 58D27

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