{
  "id": "2403.17526",
  "version": "v1",
  "published": "2024-03-26T09:28:01.000Z",
  "updated": "2024-03-26T09:28:01.000Z",
  "title": "Transfers of $A_\\infty$-structures as Grothendieck bifibrations",
  "authors": [
    "Martin Markl"
  ],
  "comment": "11 pages",
  "categories": [
    "math.AT"
  ],
  "abstract": "We show that the functor which assigns to an Ainfty-morphism between isotopy classes of Ainfty-algebras whose linear part is a chain homotopy equivalence its underlying chain map is a discrete Grothendieck bifibration.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-03-26T09:28:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16E99",
      "55S20"
    ],
    "keywords": [
      "structures",
      "chain homotopy equivalence",
      "discrete grothendieck bifibration",
      "isotopy classes",
      "chain map"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}