{
  "id": "1809.10995",
  "version": "v1",
  "published": "2018-09-28T12:51:27.000Z",
  "updated": "2018-09-28T12:51:27.000Z",
  "title": "Algebraic reduced genus one Gromov-Witten invariants for complete intersections in projective spaces",
  "authors": [
    "Sanghyeon Lee",
    "Jeongseok Oh"
  ],
  "comment": "29 pages",
  "categories": [
    "math.AG",
    "math.SG"
  ],
  "abstract": "A. Zinger proved a comparison theorem of standard and reduced genus one Gromov-Witten invariants for compact, Kahler manifold of (real) dimension 4 and 6 in symplectic geometry. After that, J. Li and Zinger defined reduced genus one Gromov-Witten invariants in algebraic geometry version. In 2015, H. L. Chang and Li provided a proof for Zinger's comparison theorem for quintic Calabi-Yau 3-fold in algebraic geometry. In this paper, we extend an algebraic proof of Chang and Li for every complete intersection in projective space of dimension 2 or 3.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-28T12:51:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14N35",
      "14C17",
      "14H10",
      "53D45"
    ],
    "keywords": [
      "gromov-witten invariants",
      "algebraic reduced genus",
      "complete intersection",
      "projective space",
      "zingers comparison theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}