Configuration Space Models for Spaces of Maps from a Riemann Surface to Complex Projective Space

  • Kohhei Yamaguchi

    University of Electro-Communications, Tokyo, Japan

Abstract

Let denote the space consisting of all basepoint preserving continuous maps of degree d from a compact Riemann surface of genus into an -dimensional complex projective space . In this paper, we construct a finite dimensional configuration space model for the infinite dimensional space and show that the Atiyah–Jones type theorem (cf. [1], [12]) 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

DOI 10.2977/PRIMS/1145476078