{
  "id": "2407.16236",
  "version": "v1",
  "published": "2024-07-23T07:21:54.000Z",
  "updated": "2024-07-23T07:21:54.000Z",
  "title": "E2 formality via obstruction theory",
  "authors": [
    "Geoffroy Horel"
  ],
  "comment": "15 pages",
  "categories": [
    "math.AT"
  ],
  "abstract": "We attack the question of E_2-formality of differential graded algebras over prime fields via obstruction theory. We are able to prove that E_2-algebras whose cohomology ring is a polynomial algebra on even degree classes are intrinsically formal. As a consequence we prove E_2-formality of the classifying space of some compact Lie group or of Davis-Januszkiewicz spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-07-23T07:21:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "obstruction theory",
      "e2 formality",
      "compact lie group",
      "davis-januszkiewicz spaces",
      "differential graded algebras"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}