{
  "annotation_id": "50ab33b0-8761-4951-b5f9-6d34430cd024",
  "date_created": "2026-02-17T05:53:24.327000Z",
  "date_modified": "2026-02-17T05:53:24.327000Z",
  "file_hash": "8ea9e351e24966847132f76112cab706b83d37f88f7c44af5b280375b19efb01",
  "private": false,
  "record": {
    "abstract": "For a closed Riemannian manifold $M$ with a compact Lie group $G$ acting by isometries, we show a generic multiplicity one theorem in equivariant min-max theory, and show in generic sense that there are infinitely many $G$-invariant minimal hypersurfaces in a fixed $G$-homology class. We also establish an equivariant min-max theory for $G$-invariant hypersurfaces of prescribed mean curvature with $G$-index upper bounds.",
    "arxiv_id": "2601.09884",
    "authors": [
      "Tongrui Wang"
    ],
    "categories": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Multiplicity one for equivariant min-max theory in prescribed homology classes",
    "url": "https://arxiv.org/abs/2601.09884",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e73e298c-faa0-49d0-85b6-17c9e62859bb",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}