{
  "id": "1704.01857",
  "version": "v1",
  "published": "2017-04-06T14:24:07.000Z",
  "updated": "2017-04-06T14:24:07.000Z",
  "title": "On the homotopy transfer of $A_\\infty$ structures",
  "authors": [
    "Jakub Kopřiva",
    "Petr Somberg"
  ],
  "categories": [
    "math.AT",
    "math-ph",
    "math.CT",
    "math.MP"
  ],
  "abstract": "The present article is devoted to the study of transfers for $A_\\infty$ structures, their maps and homotopies, as developed in \\cite{Markl06}. In particular, we supply the proofs of claims formulated therein and provide their extension by comparing them with the former approach based on the homological perturbation lemma.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-06T14:24:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "18D10",
      "55S99"
    ],
    "keywords": [
      "homotopy transfer",
      "structures",
      "homological perturbation lemma"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}