Configuration Space Models for Spaces of Maps from a Riemann Surface to Complex Projective Space
Kohhei Yamaguchi
University of Electro-Communications, Tokyo, Japan
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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