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

2008/11/14 by David Ayala, Ayala, David · 1 citation
Mathematics · #14H15 #32G15 #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.0811.2274

openalex publication_date 2008/11/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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• Stability phenomena in the topology of moduli spaces
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