{
  "id": "1004.2403",
  "version": "v2",
  "published": "2010-04-14T14:20:11.000Z",
  "updated": "2010-08-26T16:10:11.000Z",
  "title": "K-classes of matroids and equivariant localization",
  "authors": [
    "Alex Fink",
    "David E Speyer"
  ],
  "comment": "v2: added a starting point for combinatorialists in Section 2.4, + minor changes",
  "categories": [
    "math.CO",
    "math.AG"
  ],
  "abstract": "To every matroid, we associate a class in the K-theory of the Grassmannian. We study this class using the method of equivariant localization. In particular, we provide a geometric interpretation of the Tutte polynomial. We also extend results of the second author concerning the behavior of such classes under direct sum, series and parallel connection and two-sum; these results were previously only established for realizable matroids, and their earlier proofs were more difficult.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-08-26T16:10:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "equivariant localization",
      "earlier proofs",
      "parallel connection",
      "direct sum",
      "extend results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1004.2403F"
    }
  }
}