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1. CMB 2000 (vol 43 pp. 183)
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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)
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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 |