{
  "id": "2006.02276",
  "version": "v1",
  "published": "2020-06-03T13:52:45.000Z",
  "updated": "2020-06-03T13:52:45.000Z",
  "title": "Psybrackets, Pseudoknots and Singular Knots",
  "authors": [
    "Jieon Kim",
    "Suhyeon Jeong",
    "Sam Nelson"
  ],
  "comment": "12 pages",
  "categories": [
    "math.GT",
    "math.QA"
  ],
  "abstract": "We introduce algebraic structures known as psybrackets and use them to define invariants of pseudoknots and singular knots and links. Psybrackets are Niebrzydowski tribrackets with additional structure inspired by the Reidemeister moves for pseudoknots and singular knots. Examples and computations are provided.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-03T13:52:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57K12"
    ],
    "keywords": [
      "singular knots",
      "psybrackets",
      "pseudoknots",
      "reidemeister moves",
      "algebraic structures"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}