{
  "id": "cond-mat/0602459",
  "version": "v2",
  "published": "2006-02-20T14:35:18.000Z",
  "updated": "2006-04-12T10:16:55.000Z",
  "title": "Homotopy in statistical physics",
  "authors": [
    "Ralph Kenna"
  ],
  "comment": "Significant extensions and updates: 29 pages, 11 figures. Lecture given at the Mochima Spring School, Mochima, Venezuela, June 2006. To appear in Cond. Matt. Phys",
  "journal": "Condensed Matter Phys.9:283-304,2006",
  "categories": [
    "cond-mat.stat-mech",
    "hep-lat"
  ],
  "abstract": "In condensed matter physics and related areas, topological defects play important roles in phase transitions and critical phenomena. Homotopy theory facilitates the classification of such topological defects. After a pedagogic introduction to the mathematical methods involved in topology and homotopy theory, the role of the latter in a number of mainly low-dimensional statistical-mechanical systems is outlined. Some recent activities in this area are reviewed and some possible future directions are discussed.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-04-12T10:16:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "64.60.-i",
      "05.20.-y",
      "64.70.Md",
      "64.70.-p",
      "02.40.Pc"
    ],
    "keywords": [
      "statistical physics",
      "topological defects play important roles",
      "homotopy theory facilitates",
      "phase transitions",
      "condensed matter physics"
    ],
    "tags": [
      "lecture notes",
      "journal article"
    ],
    "publication": {
      "doi": "10.5488/CMP.9.2.283"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 714311,
      "adsabs": "2006cond.mat..2459K"
    }
  }
}