{
  "id": "2102.11179",
  "version": "v1",
  "published": "2021-02-22T16:58:33.000Z",
  "updated": "2021-02-22T16:58:33.000Z",
  "title": "Inclusion-exclusion on Schubert polynomials",
  "authors": [
    "Karola Mészáros",
    "Arthur Tanjaya"
  ],
  "comment": "15 pages, 5 figures",
  "categories": [
    "math.CO"
  ],
  "abstract": "We prove that an inclusion-exclusion inspired expression of Schubert polynomials of permutations that avoid the patterns 1432 and 1423 is nonnegative. Our theorem implies a partial affirmative answer to a recent conjecture of Yibo Gao about principal specializations of Schubert polynomials. We propose a general framework for finding inclusion-exclusion inspired expression of Schubert polynomials of all permutations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-02-22T16:58:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E05"
    ],
    "keywords": [
      "schubert polynomials",
      "permutations",
      "general framework",
      "principal specializations",
      "yibo gao"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}