{
  "id": "math/9901071",
  "version": "v1",
  "published": "1999-01-18T15:54:31.000Z",
  "updated": "1999-01-18T15:54:31.000Z",
  "title": "Seiberg-Witten theoretic invariants of lens spaces",
  "authors": [
    "Liviu I. Nicolaescu"
  ],
  "comment": "LaTex 2e with amssymb, 43 pages, 4 figures",
  "categories": [
    "math.DG"
  ],
  "abstract": "We describe an effective algorithm for computing Seiberg-Witen invariants of lens spaces. We apply it to two problems: (i) to compute the Froyshov invariants of a large family of lens spaces; (ii) to show that the knowledge of the Seiberg-Witten invariants of lens spaces is topologically equivalent to the knowledge of its Casson-Walker invariant and of its Milnor-Turaev torsion. We also use the results in problem (i) to derive several topological results concerning the negative definite manifolds bounding a given lens space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-01-18T15:54:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58D27",
      "57Q10",
      "57R15",
      "57R19",
      "53C20",
      "53C25",
      "58G25",
      "58G30",
      "11A99"
    ],
    "keywords": [
      "lens space",
      "seiberg-witten theoretic invariants",
      "computing seiberg-witen invariants",
      "froyshov invariants",
      "seiberg-witten invariants"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 43,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999math......1071N"
    }
  }
}