{
  "id": "1702.05886",
  "version": "v1",
  "published": "2017-02-20T07:57:38.000Z",
  "updated": "2017-02-20T07:57:38.000Z",
  "title": "$L^p$-Analysis of the Hodge--Dirac operator associated with Witten Laplacians on complete Riemannian manifolds",
  "authors": [
    "Jan van Neerven",
    "Rik Versendaal"
  ],
  "comment": "23 pages, submitted for publication",
  "categories": [
    "math.FA",
    "math.DG"
  ],
  "abstract": "We prove $R$-bisectoriality and boundedness of the $H^\\infty$-functional calculus in $L^p$ for all $1<p<\\infty$ for the Hodge-Dirac operator associated with Witten Laplacians on complete Riemannian manifolds with non-negative Bakry-Emery Ricci curvature on $k$-forms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-20T07:57:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A60",
      "58A10",
      "58J35",
      "58J60"
    ],
    "keywords": [
      "complete riemannian manifolds",
      "witten laplacians",
      "hodge-dirac operator",
      "non-negative bakry-emery ricci curvature",
      "functional calculus"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}