{
  "id": "2202.12366",
  "version": "v1",
  "published": "2022-02-24T21:13:36.000Z",
  "updated": "2022-02-24T21:13:36.000Z",
  "title": "Bredon motivic cohomology of the complex numbers",
  "authors": [
    "Jeremiah Heller",
    "Mircea Voineagu",
    "Paul Arne Østvær"
  ],
  "comment": "20 pages, 3 figures",
  "categories": [
    "math.AG",
    "math.AT",
    "math.KT"
  ],
  "abstract": "Over the complex numbers, we compute the $C_2$-equivariant Bredon motivic cohomology ring with $\\mathbb{Z}/2$ coefficients. By rigidity, this extends Suslin's calculation of the motivic cohomology ring of algebraically closed fields of characteristic zero to the $C_2$-equivariant motivic setting.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-02-24T21:13:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F42",
      "55P91"
    ],
    "keywords": [
      "complex numbers",
      "equivariant bredon motivic cohomology ring",
      "extends suslins calculation",
      "characteristic zero",
      "equivariant motivic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}