{
  "annotation_id": "f66740ac-a39f-43e3-a798-417f4df28c8a",
  "date_created": "2026-03-02T18:01:28.479000Z",
  "date_modified": "2026-03-02T18:01:28.479000Z",
  "file_hash": "3e9ae7713a322358f6271fa8a78cebbac689738a46ff0cab96bfd066e232c4f4",
  "private": false,
  "record": {
    "abstract": "An invariant $\\mu_{\\alpha}(K)$ of fibred knots $K$ in a homology sphere is\ndefined for each $\\alpha \\in {\\bold S}{\\bold U}_n$ as follows. Since the knot\nis fibred, the knot complement is described by an element of the mapping class\ngroup, which induces an action on the variety of ${\\bold S}{\\bold U}_n$\nrepresentations of the surface group. Restricting attention to those\nrepresentations with holonomy along the longitude conjugate to $a \\in {\\bold\nS}{\\bold U}_n,$ one can define $\\mu_{\\alpha}(K)$ to be the Lefschetz number of\nthis action. The dependence of $\\mu_\\alpha(K)$ on $\\alpha$ is studied and\nformulas relating $\\mu_{\\alpha}(K)$ to $\\mu_{\\beta}(K)$ are derived for\n$\\alpha,\\beta \\in\n  ${\\bold S}{\\bold U}_n$.$",
    "arxiv_id": "q-alg/9610028",
    "authors": [
      "H. U. Boden"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "journal_ref": "p.259-267 in Geometric Topology, Edited by W. Kazez, AMS/IP\n  Studies in Adv. Math. (1997)",
    "title": "Invariants of fibred knots from moduli",
    "url": "https://arxiv.org/abs/q-alg/9610028"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a017f35d-9b7b-41f3-8ffd-e26db2d25ae6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}