Let Map
d*(M
g, \mathbb{CP}
n−1) denote the space consisting of all basepoint preserving continuous maps of degree
d from a compact Riemann surface M
g of genus
g into a (
n−1)-dimensional complex projective space \mathbb{CP}
n−1. In this paper, we construct a finite dimensional configuration space model SP
nd(M
g') for the infinite dimensional space Map
d*(M
g, \mathbb{CP}
n−1) and show that the Atiyah-Jones type theorem (cf. [1], [12]) holds for this model.
View full abstract