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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 theory
Categories: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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