{
  "id": "1803.09684",
  "version": "v2",
  "published": "2018-03-26T16:01:39.000Z",
  "updated": "2018-11-12T20:50:48.000Z",
  "title": "Systoles, Special Lagrangians, and Bridgeland stability conditions",
  "authors": [
    "Yu-Wei Fan"
  ],
  "comment": "12 pages. Comments are welcome!",
  "categories": [
    "math.AG",
    "math.CO",
    "math.DG",
    "math.SG"
  ],
  "abstract": "We propose a natural generalization of Loewner's torus systolic inequality from the viewpoint of Calabi-Yau geometry. We ask whether the square of the minimum volume of special Lagrangians in a Calabi-Yau manifold is bounded by the total volume of the Calabi-Yau. We observe that this is related to a question of Bridgeland stability conditions on the derived category of Calabi-Yau manifolds, and we give an affirmative answer for generic K3 surfaces.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2018-11-12T20:50:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bridgeland stability conditions",
      "special lagrangians",
      "loewners torus systolic inequality",
      "calabi-yau manifold",
      "generic k3 surfaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}