Geodesic
Unitons and their moduli
Anand, Christopher1
1 Mathematics Research Centre, University of Warwick, Coventry CV4 7AL, UK
Electronic research announcements of the American Mathematical Society, Tome 02 (1996) no. 1, pp. 7-16.

Voir la notice de l'article provenant de la source American Mathematical Society

We sketch the proof that unitons (harmonic spheres in $\operatorname {U}(N)$) correspond to holomorphic ‘uniton bundles’, and that these admit monad representations analogous to Donaldson’s representation of instanton bundles. We also give a closed-form expression for the unitons involving only matrix operations, a finite-gap result (two-unitons have energy $\ge 4$), computations of fundamental groups of energy $\le 4$ components, new methods of proving discreteness of the energy spectrum and of Wood’s Rationality Conjecture, a discussion of the maps into complex Grassmannians and some open problems.
DOI : 10.1090/S1079-6762-96-00002-9

Anand, Christopher 1

1 Mathematics Research Centre, University of Warwick, Coventry CV4 7AL, UK 
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Anand, Christopher. Unitons and their moduli. Electronic research announcements of the American Mathematical Society, Tome 02 (1996) no. 1, pp. 7-16. doi : 10.1090/S1079-6762-96-00002-9. http://geodesic.mathdoc.fr/articles/10.1090/S1079-6762-96-00002-9/

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