{
  "id": "math/0509001",
  "version": "v2",
  "published": "2005-08-31T20:11:27.000Z",
  "updated": "2009-03-27T15:36:08.000Z",
  "title": "Toward a fundamental groupoid for the stable homotopy category",
  "authors": [
    "Jack Morava"
  ],
  "comment": "This is the version published by Geometry & Topology Monographs on 18 April 2007",
  "journal": "Geom. Topol. Monogr. 10 (2007) 293-317",
  "doi": "10.2140/gtm.2007.10.293",
  "categories": [
    "math.AT",
    "math.NT"
  ],
  "abstract": "This very speculative sketch suggests that a theory of fundamental groupoids for tensor triangulated categories could be used to describe the ring of integers as the singular fiber in a family of ring-spectra parametrized by a structure space for the stable homotopy category, and that Bousfield localization might be part of a theory of `nearby' cycles for stacks or orbifolds.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-03-27T15:36:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G99",
      "19F99",
      "57R99",
      "81T99"
    ],
    "keywords": [
      "stable homotopy category",
      "fundamental groupoid",
      "tensor triangulated categories",
      "singular fiber",
      "structure space"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......9001M"
    }
  }
}