{
  "id": "1712.07409",
  "version": "v1",
  "published": "2017-12-20T10:49:32.000Z",
  "updated": "2017-12-20T10:49:32.000Z",
  "title": "Moduli Space of Quasi-Maps from P^{1} with Two Marked Points to P(1,1,1,3) and j-invariant",
  "authors": [
    "Masao Jinzenji",
    "Hayato Saito"
  ],
  "comment": "22 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "In this paper, we construct toric data of moduli space of quasi maps of degree $d$ from P^{1} with two marked points to weighted projective space P(1.1,1,3). With this result, we prove that the moduli space is a compact toric orbifold. We also determine its Chow ring. Moreover, we give a proof of the conjecture proposed by Jinzenji that a series of intersection numbers of the moduli spaces coincides with expansion coefficients of inverse function of -log(j(tau)).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-20T10:49:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14N35"
    ],
    "keywords": [
      "marked points",
      "quasi-maps",
      "j-invariant",
      "moduli spaces coincides",
      "compact toric orbifold"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}