Identification of the higher homotopy groups of the homotopy of rational maps on the Riemann sphere:
On homotopy of rational maps from a compact Riemann surface to a toric variety:
Martin A. Guest, Configuration spaces and the space of rational curves on a toric variety, Bull. Amer. Math. Soc. 31 (1994), 191-196 (doi:10.1090/S0273-0979-1994-00515-4)
Martin A. Guest, The topology of the space of rational curves on a toric variety, Acta Math. 174(1): 119-145 (1995) (doi:10.1007/BF02392803, arXiv:alg-geom/9301005)
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