{
  "id": "1811.07960",
  "version": "v2",
  "published": "2018-11-19T20:20:22.000Z",
  "updated": "2019-08-24T02:41:35.000Z",
  "title": "The slice spectral sequence of a $C_4$-equivariant height-4 Lubin-Tate theory",
  "authors": [
    "Michael A. Hill",
    "XiaoLin Danny Shi",
    "Guozhen Wang",
    "Zhouli Xu"
  ],
  "comment": "New introduction. 107 pages, 45 figures. Comments welcome",
  "categories": [
    "math.AT"
  ],
  "abstract": "We completely compute the slice spectral sequence of the $C_4$-spectrum $BP^{((C_4))}\\langle 2 \\rangle$. After periodization and $K(4)$-localization, this spectrum is equivalent to a height-4 Lubin-Tate theory $E_4$ with $C_4$-action induced from the Goerss-Hopkins-Miller theorem. In particular, our computation shows that $E_4^{hC_{12}}$ is 384-periodic.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2019-08-24T02:41:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "slice spectral sequence",
      "lubin-tate theory",
      "equivariant",
      "goerss-hopkins-miller theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 107,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}