{
  "id": "1512.07213",
  "version": "v1",
  "published": "2015-12-22T19:39:47.000Z",
  "updated": "2015-12-22T19:39:47.000Z",
  "title": "Sasaki-Einstein metrics and K-stability",
  "authors": [
    "Tristan C. Collins",
    "Gábor Székelyhidi"
  ],
  "comment": "56 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "We show that a polarized affine variety admits a Ricci flat K\\\"ahler cone metric, if it is K-stable. This generalizes Chen-Donaldson-Sun's solution of the Yau-Tian-Donaldson conjecture to K\\\"ahler cones, or equivalently, Sasakian manifolds. As an application we show that the five-sphere admits infinitely many families of Sasaki-Einstein metrics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-22T19:39:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C25"
    ],
    "keywords": [
      "sasaki-einstein metrics",
      "k-stability",
      "polarized affine variety admits",
      "generalizes chen-donaldson-suns solution",
      "cone metric"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 56,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151207213C"
    }
  }
}