{
  "id": "0811.2274",
  "version": "v2",
  "published": "2008-11-14T06:47:26.000Z",
  "updated": "2017-12-15T20:16:55.000Z",
  "title": "Homological Stability among Moduli Spaces of Holomorphic Curves in Complex Projective Space",
  "authors": [
    "David Ayala"
  ],
  "comment": "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",
  "categories": [
    "math.AT"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-11-14T06:47:26.000Z",
      "comment": "25 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2017-12-15T20:16:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32G15",
      "14H15"
    ],
    "keywords": [
      "complex projective space",
      "moduli spaces",
      "holomorphic curves",
      "homological stability",
      "holomorphic maps riemann surfaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0811.2274A"
    }
  }
}