{
  "id": "math/0304105",
  "version": "v1",
  "published": "2003-04-08T11:23:35.000Z",
  "updated": "2003-04-08T11:23:35.000Z",
  "title": "Topological entropy and Burau representation",
  "authors": [
    "Boris Kolev"
  ],
  "comment": "English translation of \"Boris Kolev. Entropie topologique et representation de Burau. C. R. Acad. Sci. Paris Ser. I Math., 309(13):835-838, 1989. \" with examples and commentaries added",
  "journal": "C. R. Acad. Sci. Paris Ser. I Math., 309(13) :835-838, 1989",
  "categories": [
    "math.DS",
    "math.AT"
  ],
  "abstract": "Let f be an orientation-preserving homeomorphism of the disk D, P a finite invariant subset and [f] the isotopy class of f in D\\P. We give a non trivial lower bound of the topological entropy for maps in [f], using the spectral radius of some specializations in GL(n,C) of the Burau matrix associated with [f] and we discuss some examples.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-04-08T11:23:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F36",
      "54C70",
      "57M05"
    ],
    "keywords": [
      "topological entropy",
      "burau representation",
      "non trivial lower bound",
      "finite invariant subset",
      "burau matrix"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......4105K"
    }
  }
}