{
  "id": "1307.2401",
  "version": "v1",
  "published": "2013-07-09T11:07:03.000Z",
  "updated": "2013-07-09T11:07:03.000Z",
  "title": "On the Equivariant Lazard Ring and Tom Dieck's Equivariant Cobordism Ring",
  "authors": [
    "C. L Liu"
  ],
  "categories": [
    "math.AT",
    "math.AG"
  ],
  "abstract": "For a torus G of rank r = 1, we showed that the canonical ring homomorphism L_G \\to MU_G, where L_G is the equivariant Lazard ring and MU_G is the equivariant cobordism ring introduced by Tom Dieck, is surjective. We also showed that the completion map MU_G \\to \\hat{MU}_G = MU(BG) is injective. Moreover, we showed that the same results hold if we assume a certain algebraic property holds in L_G when r \\geq 2.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-07-09T11:07:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "tom diecks equivariant cobordism ring",
      "equivariant lazard ring",
      "algebraic property holds",
      "results hold",
      "completion map"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.2401L"
    }
  }
}