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Irreducibility of moduli space of harmonic 2-spheres in S4

✍ Scribed by Bonaventure Loo


Publisher
Springer
Year
1999
Tongue
English
Weight
812 KB
Volume
30
Category
Article
ISSN
1678-7714

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The L2 geometry of spaces of harmonic ma
✍ J.M. Speight πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 243 KB

Harmonic maps from S 2 to S 2 are all weakly conformal, and so are represented by rational maps. This paper presents a study of the L 2 metric Ξ³ on M n , the space of degree n harmonic maps S 2 β†’ S 2 , or equivalently, the space of rational maps of degree n. It is proved that Ξ³ is KΓ€hler with respec