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

Kohhei Yamaguchi | Zendy

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

Author(s) -

Kohhei Yamaguchi

Publication year - 2003

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/1145476078

Subject(s) - mathematics , space (punctuation) , pure mathematics , projective test , riemann surface , complex projective space , projective space , riemann sphere , surface (topology) , mathematical analysis , geometry , computer science , operating system

Let Mapd(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 CPn−1. In this paper, we construct a finite dimensional configuration space model SPn(M ′ g) for the infinite dimensional space Mapd(Mg,CP n−1) and show that the Atiyah-Jones type theorem (cf. [1], [12]) holds for this model. §

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