{
  "id": "math/0111298",
  "version": "v3",
  "published": "2001-11-29T00:40:29.000Z",
  "updated": "2002-05-21T17:15:07.000Z",
  "title": "Seiberg--Witten invariants and surface singularities",
  "authors": [
    "Andras Nemethi",
    "Liviu I Nicolaescu"
  ],
  "comment": "Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol6/paper9.abs.html",
  "journal": "Geom. Topol. 6(2002) 269-328",
  "categories": [
    "math.AG",
    "math.GT"
  ],
  "abstract": "We formulate a very general conjecture relating the analytical invariants of a normal surface singularity to the Seiberg-Witten invariants of its link provided that the link is a rational homology sphere. As supporting evidence, we establish its validity for a large class of singularities: some rational and minimally elliptic (including the cyclic quotient and `polygonal') singularities, and Brieskorn-Hamm complete intersections. Some of the verifications are based on a result which describes (in terms of the plumbing graph) the Reidemeister-Turaev sign refined torsion (or, equivalently, the Seiberg-Witten invariant) of a rational homology 3-manifold M, provided that M is given by a negative definite plumbing. These results extend previous work of Artin, Laufer and S S-T Yau, respectively of Fintushel-Stern and Neumann-Wahl.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2002-05-21T17:15:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14B05",
      "14J17",
      "32S25",
      "57R57",
      "57M27",
      "14E15",
      "32S55",
      "57M25"
    ],
    "keywords": [
      "seiberg-witten invariant",
      "normal surface singularity",
      "brieskorn-hamm complete intersections",
      "reidemeister-turaev sign refined torsion",
      "rational homology sphere"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math.....11298N"
    }
  }
}