{
  "id": "2306.13342",
  "version": "v1",
  "published": "2023-06-23T07:44:48.000Z",
  "updated": "2023-06-23T07:44:48.000Z",
  "title": "Additivity of simplicial volume for aspherical manifolds",
  "authors": [
    "Pietro Capovilla"
  ],
  "comment": "42 pages. arXiv admin note: text overlap with arXiv:1907.10547 by other authors",
  "categories": [
    "math.GT"
  ],
  "abstract": "We show that the simplicial volume of aspherical manifolds is superadditive with respect to gluings along certain aspherical submanifolds of the boundary. As an application, we generalize to higher dimensions a result of Soma about gluings of 3-manifolds along incompressible annuli in the boundary. Our arguments are based on new results about relative bounded cohomology and pairs of multicomplexes, which are of independent interest.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-06-23T07:44:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55N10",
      "55U10",
      "57N65"
    ],
    "keywords": [
      "simplicial volume",
      "aspherical manifolds",
      "additivity",
      "independent interest",
      "higher dimensions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}