Homological Stability among Moduli Spaces of Holomorphic Curves in Complex Projective Space
Algebraic Topology
2017-12-19 v2
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.
Keywords
Cite
@article{arxiv.0811.2274,
title = {Homological Stability among Moduli Spaces of Holomorphic Curves in Complex Projective Space},
author = {David Ayala},
journal= {arXiv preprint arXiv:0811.2274},
year = {2017}
}
Comments
There 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