{
  "id": "0903.2180",
  "version": "v1",
  "published": "2009-03-12T14:46:39.000Z",
  "updated": "2009-03-12T14:46:39.000Z",
  "title": "Topology of Configuration Space of Two Particles on a Graph, I",
  "authors": [
    "Kathryn Barnett",
    "Michael Farber"
  ],
  "comment": "31 pages, 15 figures",
  "categories": [
    "math.AT",
    "math.CO"
  ],
  "abstract": "In this paper we study the homology and cohomology of confguration spaces of two distinct particles on a graph. Our main tool is intersection theory for cycles in graphs. We obtain an explicit description of the cohomology algebra of the configuration space in the case of planar graphs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-03-12T14:46:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55R80"
    ],
    "keywords": [
      "configuration space",
      "cohomology algebra",
      "explicit description",
      "intersection theory",
      "main tool"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0903.2180B"
    }
  }
}