{
  "id": "2311.06676",
  "version": "v1",
  "published": "2023-11-11T22:22:04.000Z",
  "updated": "2023-11-11T22:22:04.000Z",
  "title": "The universal cover of the real projective line",
  "authors": [
    "Jack Morava"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "We construct an interesting topological cover of the multiplicative group of the real line, related to Tate's elliptic curve with $q = e^\\pi$. We use the language of homological algebra, 2D Lorentz geometry and high-school trigonometry; the intent is expository but the suggested applications may be unusual.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-11-11T22:22:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54H11",
      "55N22"
    ],
    "keywords": [
      "real projective line",
      "universal cover",
      "tates elliptic curve",
      "2d lorentz geometry",
      "high-school trigonometry"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}