{
  "id": "1509.07559",
  "version": "v1",
  "published": "2015-09-24T22:51:17.000Z",
  "updated": "2015-09-24T22:51:17.000Z",
  "title": "Dehn surgeries and rational homology balls",
  "authors": [
    "Paolo Aceto",
    "Marco Golla"
  ],
  "comment": "22 pages, many figures. Comments welcome!",
  "categories": [
    "math.GT"
  ],
  "abstract": "We consider the question of which Dehn surgeries along a given knot bound rational homology balls. We use Ozsv\\'ath and Szab\\'o's correction terms in Heegaard Floer homology to obtain general constraints on the surgery coefficients. We then turn our attention to the case of integral surgeries, with particular emphasis on positive torus knots. Finally, combining these results with a lattice-theoretic obstruction based on Donaldon's theorem, we classify which integral surgeries along torus knots of the form $T_{kq\\pm 1,q}$ bound rational homology balls.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-24T22:51:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M27"
    ],
    "keywords": [
      "dehn surgeries",
      "knot bound rational homology balls",
      "torus knots",
      "integral surgeries",
      "heegaard floer homology"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150907559A"
    }
  }
}