Homological Stability among Moduli Spaces of Holomorphic Curves in Complex Projective Space

Details Homological Stability among Moduli Spaces of Holomorphic Curves in Complex Projective Space Homological Stability among Moduli Spaces of Holomorphic Curves in Complex Projective Space

2008-11-14

arxiv.org/abs/0811.2274v1

Mathematics

Algebraic Topology

25 pages

Scientific paper

The primary goal of this paper is to find a homotopy theoretic approximation to moduli spaces of holomorphic maps Riemann surfaces into complex projective space. There is a similar treatment of a partial compactification of these moduli spaces of consisting of irreducible stable maps in the sense of Gromov-Witten theory. The arguments follow those from a paper of G. Segal on the topology of the space of rational functions.

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