{
  "id": "2104.11647",
  "version": "v1",
  "published": "2021-04-23T14:56:32.000Z",
  "updated": "2021-04-23T14:56:32.000Z",
  "title": "Approximation of mean curvature flow with generic singularities by smooth flows with surgery",
  "authors": [
    "Joshua Daniels-Holgate"
  ],
  "comment": "Comments welcome",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "We construct smooth mean curvature flows with surgery that approximate unit-regular, cylic (mod 2) Brakke flows with only spherical and neck-pinch singularities. This is achieved by combining the recent work of Choi-Haslhofer-Hershkovits, and Choi-Haslhofer-Hershkovits-White, establishing canonical neighbourhoods of such singularities, with suitable barriers to flows with surgery. A limiting argument is then used to control these approximating flows. We conclude by improving the entropy bound on the low-entropy Schoenflies conjecture.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-04-23T14:56:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "smooth flows",
      "generic singularities",
      "construct smooth mean curvature flows",
      "approximation",
      "low-entropy schoenflies conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}