Let Map_d_∗(Mg, ℂP_n_−1) denote the space consisting of all basepoint preserving continuous maps of degree d from a compact Riemann surface Mg of genus g into a (n − 1)-dimensional complex projective space ℂP_n_−1. In this paper, we construct a ﬁnite dimensional conﬁguration space model SP_n__d_(Mg) for the inﬁnite dimensional space Map_d_∗(Mg, ℂP_n_−1) and show that the Atiyah–Jones type theorem (cf. , ) holds for this model.
Cite this article
Kohhei Yamaguchi, Conﬁguration Space Models for Spaces of Maps from a Riemann Surface to Complex Projective Space. Publ. Res. Inst. Math. Sci. 39 (2003), no. 3, pp. 535–543