On the relation between the moduli space of Yang-Mills monopoles and “rational maps” as concerned with “scattering data”:
On identifying the moduli space of Yang-Mills monopoles for gauge group any classical Lie group with a space of rational maps, namely holomorphic maps from the Riemann sphere to a flag variety:
Jacques Hurtubise, Michael K. Murray, On the construction of monopoles for the classical groups, Comm. Math. Phys. 122(1): 35-89 (1989) (euclid:cmp/1104178316)
Jacques Hurtubise, The classification of monopoles for the classical groups, Commun. Math. Phys. 120, 613–641 (1989) (doi:10.1007/BF01260389)
Jacques Hurtubise, Michael K. Murray, Monopoles and their spectral data, Comm. Math. Phys. 133(3): 487-508 (1990) (euclid:cmp/1104201504)
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