{
  "id": "2210.06548",
  "version": "v1",
  "published": "2022-10-12T19:34:24.000Z",
  "updated": "2022-10-12T19:34:24.000Z",
  "title": "Betti Tate's thesis and the trace of perverse schobers",
  "authors": [
    "Benjamin Gammage",
    "Justin Hilburn"
  ],
  "comment": "11 pages. Comments welcome!",
  "categories": [
    "math.RT",
    "math.AG",
    "math.SG"
  ],
  "abstract": "We propose a conjecture on the categorical trace of the 2-category of perverse schobers (expected to model the Fukaya-Fueter 2-category of a holomorphic symplectic space). By proving a Betti geometric version of Tate's thesis, and combining it with our previous 3d mirror symmetry equivalence and the Ben-Zvi--Nadler--Preygel result on spectral traces, we are able to establish our conjecture in the simplest interesting case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-12T19:34:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "betti tates thesis",
      "perverse schobers",
      "3d mirror symmetry equivalence",
      "betti geometric version",
      "holomorphic symplectic space"
    ],
    "tags": [
      "dissertation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}