{
  "id": "math/0312442",
  "version": "v1",
  "published": "2003-12-24T10:14:32.000Z",
  "updated": "2003-12-24T10:14:32.000Z",
  "title": "Stability data and t-structures on a triangulated category",
  "authors": [
    "A. Gorodentscev",
    "S. Kuleshov",
    "A. Rudakov"
  ],
  "comment": "30 pp, uses diagrams.sty by P.Taylor",
  "categories": [
    "math.AG",
    "math.CT"
  ],
  "abstract": "We propose the notion of stability on a triangulated category that is a generalization of the T.Bridgeland's stability data. We establish connections between stabilities and t-structures on a category and as application we get the classification of bounded t-structures on the bounded derived category of coherent sheaves on a line.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-12-24T10:14:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F05",
      "13D30",
      "13D99"
    ],
    "keywords": [
      "triangulated category",
      "bridgelands stability data",
      "coherent sheaves",
      "classification",
      "establish connections"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....12442G"
    }
  }
}