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

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.

arXiv commentThere is an error invalidating the main theorem. The error is pointed out as Remark 2.0.1. I am keeping this paper posted in case the ideas in it are useful to others

Cited by in corpus (2)

• Geometric Cobordism Categories
• Stability phenomena in the topology of moduli spaces