{
  "id": "2301.12741",
  "version": "v1",
  "published": "2023-01-30T09:14:23.000Z",
  "updated": "2023-01-30T09:14:23.000Z",
  "title": "Generating functions of dual $K$-theoretic $P$- and $Q$-functions and boson-fermion correspondence",
  "authors": [
    "Shinsuke Iwao"
  ],
  "comment": "18 pages, 1 figure",
  "categories": [
    "math.CO",
    "math.AG",
    "math.KT"
  ],
  "abstract": "We provide a new description of the dual $K$-theoretic $P$- and $Q$-functions in terms of the boson-fermion correspondence. Our result generalizes the neutral-fermionic presentation of the Schur $P$- and $Q$-functions. As a corollary, we derive a generating function of the dual $K$-theoretic $Q$-function $gq_\\lambda$, which was conjectured by Nakagawa-Naruse. We also present a generating function of the dual $K$-theoretic $P$-function $gp_\\lambda$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-01-30T09:14:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E05",
      "05E14",
      "13M10",
      "14N15"
    ],
    "keywords": [
      "generating function",
      "boson-fermion correspondence",
      "neutral-fermionic presentation",
      "result generalizes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}