{
  "id": "1012.2876",
  "version": "v2",
  "published": "2010-12-13T21:06:04.000Z",
  "updated": "2012-05-08T19:02:16.000Z",
  "title": "Representation spaces of pretzel knots",
  "authors": [
    "Raphael Zentner"
  ],
  "comment": "30 pages, 3 figures. This is the published version. It is more general than the previous version regarding the values $p,q,r$. Furthermore, rewritten according after referee's remarks",
  "journal": "Algebraic & Geometric Topology 11 (2011) 2941-2970",
  "doi": "10.2140/agt.2011.11.2941",
  "categories": [
    "math.GT"
  ],
  "abstract": "We study the representation spaces $R(K;\\bf{i})$ as appearing in Kronheimer and Mrowka's framed instanton knot Floer homology, for a class of pretzel knots. In particular, for pretzel knots $P(p,q,r)$ with $p, q, r$ pairwise coprime, these appear to be non-degenerate and comprise representations in SU(2) that are not binary dihedral.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-05-08T19:02:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M27",
      "57R58"
    ],
    "keywords": [
      "pretzel knots",
      "representation spaces",
      "mrowkas framed instanton knot floer",
      "framed instanton knot floer homology",
      "comprise representations"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 881544,
      "adsabs": "2010arXiv1012.2876Z"
    }
  }
}