{
  "id": "2004.06889",
  "version": "v1",
  "published": "2020-04-15T05:38:50.000Z",
  "updated": "2020-04-15T05:38:50.000Z",
  "title": "On the homotopy type of L-spectra of the integers",
  "authors": [
    "Fabian Hebestreit",
    "Markus Land",
    "Thomas Nikolaus"
  ],
  "comment": "31 pages",
  "categories": [
    "math.AT",
    "math.GT",
    "math.KT"
  ],
  "abstract": "We show that quadratic and symmetric L-theory of the integers are related by Anderson duality and show that both spectra split integrally into the L-theory of the real numbers and a generalised Eilenberg-Mac Lane spectrum. As a consequence, we obtain a corresponding splitting of the space G/Top. Finally, we prove analogous results for the genuine L-spectra recently devised for the study of Grothendieck--Witt theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-15T05:38:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "homotopy type",
      "generalised eilenberg-mac lane spectrum",
      "symmetric l-theory",
      "spectra split",
      "real numbers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}