{
  "id": "1702.04984",
  "version": "v1",
  "published": "2017-02-16T14:29:45.000Z",
  "updated": "2017-02-16T14:29:45.000Z",
  "title": "Cup-products in L q,p -cohomology: discretization and quasi-isometry invariance",
  "authors": [
    "Pierre Pansu"
  ],
  "categories": [
    "math.DG",
    "math.GT",
    "math.MG"
  ],
  "abstract": "We relate $L^{q,p}$-cohomology of bounded geometry Riemannian manifolds to a purely metric space notion of $\\ell^{q,p}$-cohomology, packing cohomology. This implies quasi-isometry invariance of $L^{q,p}$-cohomology together with its multiplicative structure. The result partially extends to the Rumin $L^{q,p}$-cohomology of bounded geometry contact manifolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-16T14:29:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cohomology",
      "cup-products",
      "discretization",
      "bounded geometry contact manifolds",
      "bounded geometry riemannian manifolds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}