{
  "annotation_id": "638a1dbd-c903-45d1-a3da-831c6b2d7904",
  "date_created": "2026-02-17T05:53:24.271000Z",
  "date_modified": "2026-02-17T05:53:24.271000Z",
  "file_hash": "813bcffd92fc894e63effde194a7779dd33264f10cf291819758c5e903bafebf",
  "private": false,
  "record": {
    "abstract": "We give a combinatorial characterization of the group of quasiconformal homeomorphisms of a closed, oriented surface $S$ of genus at least $2$. In particular, we prove they are exactly the automorphisms of a graph of essential quasicircles on $S$ that respect a canonical coarse ordering induced by quality constants. We also discuss the coarse geometry of this graph.",
    "arxiv_id": "2601.09892",
    "authors": [
      "Katherine Williams Booth",
      "Alexander Nolte",
      "Yvon Verberne"
    ],
    "categories": [
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Graphs of Quasicircles and Quasiconformal Homeomorphisms",
    "url": "https://arxiv.org/abs/2601.09892",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "71dd9678-2474-4899-8c4e-3e5d09039a06",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}