{
  "id": "1707.03181",
  "version": "v1",
  "published": "2017-07-11T09:06:21.000Z",
  "updated": "2017-07-11T09:06:21.000Z",
  "title": "On the difficulty of finding spines",
  "authors": [
    "Cyril Lacoste"
  ],
  "categories": [
    "math.GR",
    "math.GT"
  ],
  "abstract": "We prove that the set of symplectic lattices in the Siegel space $\\mathfrak{h}_g$ whose systoles generate a subspace of dimension at least 3 in $\\mathbb{R}^{2g}$ does not contain any $\\mathrm{Sp}(2g,\\mathbb{Z})$-equivariant deformation retract of $\\mathfrak{h}_g$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-07-11T09:06:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finding spines",
      "difficulty",
      "equivariant deformation retract",
      "symplectic lattices",
      "siegel space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}