{
  "id": "1604.03491",
  "version": "v1",
  "published": "2016-04-12T17:35:38.000Z",
  "updated": "2016-04-12T17:35:38.000Z",
  "title": "Gromov-Witten Theory of Toric Birational Transformations",
  "authors": [
    "Pedro Acosta",
    "Mark Shoemaker"
  ],
  "comment": "26 pages",
  "categories": [
    "math.AG",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We investigate the effect of a general toric wall crossing on genus zero Gromov-Witten theory. Given two complete toric orbifolds $X_+$ and $X_-$ related by wall crossing under variation of GIT, we prove that their respective $I$-functions are related by linear transformation and asymptotic expansion. We use this comparison to deduce a similar result for birational complete intersections in $X_+$ and $X_-$. This extends the work of the previous authors in Acosta-Shoemaker to the case of complete intersections in toric varieties, and generalizes some of the results of Coates-Iritani-Jiang on the crepant transformation conjecture to the setting of non-zero discrepancy.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-04-12T17:35:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14N35",
      "14A20",
      "14E16",
      "53D45"
    ],
    "keywords": [
      "toric birational transformations",
      "genus zero gromov-witten theory",
      "crepant transformation conjecture",
      "general toric wall",
      "complete toric orbifolds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160403491A"
    }
  }
}