{
  "id": "1410.5503",
  "version": "v1",
  "published": "2014-10-20T23:43:25.000Z",
  "updated": "2014-10-20T23:43:25.000Z",
  "title": "A proof of the Landau-Ginzburg/Calabi-Yau correspondence via the crepant transformation conjecture",
  "authors": [
    "Nathan Priddis",
    "Y. -P. Lee",
    "Mark Shoemaker"
  ],
  "comment": "42 pages",
  "categories": [
    "math.AG",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We establish a new relationship (the MLK correspondence) between twisted FJRW theory and local Gromov-Witten theory in all genera. As a consequence, we show that the Landau-Ginzburg/Calabi-Yau correspondence is implied by the crepant transformation conjecture for Fermat type in genus zero. We use this to then prove the Landau-Ginzburg/Calabi-Yau correspondence for Fermat type, generalizing the results of A. Chiodo and Y. Ruan.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-20T23:43:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14N35",
      "14A20",
      "14E16",
      "53D45"
    ],
    "keywords": [
      "crepant transformation conjecture",
      "landau-ginzburg/calabi-yau correspondence",
      "fermat type",
      "local gromov-witten theory",
      "mlk correspondence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1323181,
      "adsabs": "2014arXiv1410.5503P"
    }
  }
}