{
  "id": "1309.3779",
  "version": "v1",
  "published": "2013-09-15T16:57:31.000Z",
  "updated": "2013-09-15T16:57:31.000Z",
  "title": "Salvetti complex, spectral sequences and cohomology of Artin groups",
  "authors": [
    "Filippo Callegaro"
  ],
  "comment": "22 pages, abstract in French and English",
  "categories": [
    "math.AT"
  ],
  "abstract": "The aim of this short survey is to give a quick introduction to the Salvetti complex as a tool for the study of the cohomology of Artin groups. In particular we show how a spectral sequence induced by a filtration on the complex provides a very natural and useful method to study recursively the cohomology of Artin groups, simplifying many computations. In the last section some examples of applications are presented.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-09-15T16:57:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F36",
      "55T05",
      "20J06"
    ],
    "keywords": [
      "artin groups",
      "salvetti complex",
      "cohomology",
      "quick introduction",
      "short survey"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "fr",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1309.3779C"
    }
  }
}