{
  "annotation_id": "da185d1a-2e73-4db6-bb4f-c1b9ea178f15",
  "date_created": "2026-02-17T05:53:15.045000Z",
  "date_modified": "2026-02-17T05:53:15.045000Z",
  "file_hash": "4491d0170b363c1ea39c4f6fb08d8e866dc64cbd2313d1bf66af01c8fec5d21c",
  "private": false,
  "record": {
    "abstract": "We study the quantum K-theory ring $QK(X)$ of a Grassmannian $X$ and prove a manifestly positive formula for the product of an arbitrary class by a hook class. This generalizes the quantum K-theoretic Pieri rule, a prior result of Buch and Mihalcea. We also present a combinatorial interpretation of this result.",
    "arxiv_id": "2601.08038",
    "authors": [
      "Joy Hamlin"
    ],
    "categories": [
      "math.CO",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Hook Multiplication in the Quantum K-Theory of Grassmannians",
    "url": "https://arxiv.org/abs/2601.08038",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "18c04252-fdd0-4da2-a671-f12853d220ad",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}