{
  "id": "2201.12951",
  "version": "v1",
  "published": "2022-01-31T01:21:33.000Z",
  "updated": "2022-01-31T01:21:33.000Z",
  "title": "Quantum $K$-theory of $G/P$ and $K$-homology of affine Grassmannian",
  "authors": [
    "Chi Hong Chow",
    "Naichung Conan Leung"
  ],
  "comment": "Due to an unresolved dispute, this paper will not be published in any journal",
  "categories": [
    "math.AG",
    "math.KT"
  ],
  "abstract": "This paper is the $K$-theoretic analogue of a recent new proof, given by the first named author, of Peterson-Lam-Shimozono's theorem via Savelyev's generalization of Seidel representations. The outcome is a new proof of Lam-Li-Mihalcea-Shimozono's conjecture, including its extension to the parabolic case, which was first verified by Kato.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-01-31T01:21:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14N15"
    ],
    "keywords": [
      "affine grassmannian",
      "parabolic case",
      "lam-li-mihalcea-shimozonos conjecture",
      "theoretic analogue",
      "seidel representations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}