{
  "id": "1403.3990",
  "version": "v2",
  "published": "2014-03-17T03:08:47.000Z",
  "updated": "2016-07-13T19:51:22.000Z",
  "title": "Newton-Okounkov polyhedra for character varieties and configuration spaces",
  "authors": [
    "Christopher Manon"
  ],
  "comment": "26 pages, 9 figures, published version",
  "journal": "Trans. Amer. Math. Soc. 368 (2016), 5979-6003",
  "categories": [
    "math.AG"
  ],
  "abstract": "We construct families of Newton-Okounkov bodies for the free group character varieties and configuration spaces of any connected reductive group. We use this construction to give a proof that these spaces are Cohen-Macaulay.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-03-17T03:08:47.000Z",
      "abstract": "We construct families of Newton-Okounkov bodies for the free group character varieties and configuration spaces of any connected reductive group.",
      "comment": "21 pages, 9 figures",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2016-07-13T19:51:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M25",
      "05E10",
      "14M15"
    ],
    "keywords": [
      "configuration spaces",
      "newton-okounkov polyhedra",
      "free group character varieties",
      "newton-okounkov bodies",
      "construct families"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Trans. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1286238,
      "adsabs": "2014arXiv1403.3990M"
    }
  }
}