{
  "id": "1009.3622",
  "version": "v2",
  "published": "2010-09-19T09:33:08.000Z",
  "updated": "2010-10-27T20:16:48.000Z",
  "title": "The homotopy type of toric arrangements",
  "authors": [
    "Luca Moci",
    "Simona Settepanella"
  ],
  "comment": "To appear on J. of Pure and Appl. Algebra. 16 pages, 3 pictures",
  "categories": [
    "math.AT",
    "math.GT",
    "math.RT"
  ],
  "abstract": "A toric arrangement is a finite set of hypersurfaces in a complex torus, every hypersurface being the kernel of a character. In the present paper we build a CW-complex homotopy equivalent to the arrangement complement, with a combinatorial description similar to that of the well-known Salvetti complex. If the toric arrangement is defined by a Weyl group we also provide an algebraic description, very handy for cohomology computations. In the last part we give a description in terms of tableaux for a toric arrangement appearing in robotics.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-10-27T20:16:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52C35",
      "20F55",
      "05E45",
      "55P19"
    ],
    "keywords": [
      "toric arrangement",
      "homotopy type",
      "cw-complex homotopy equivalent",
      "combinatorial description similar",
      "well-known salvetti complex"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1009.3622M"
    }
  }
}