{
  "id": "1809.08269",
  "version": "v1",
  "published": "2018-09-21T19:00:55.000Z",
  "updated": "2018-09-21T19:00:55.000Z",
  "title": "Upsilon invariants from cyclic branched covers",
  "authors": [
    "Antonio Alfieri",
    "Daniele Celoria",
    "Andras Stipsicz"
  ],
  "comment": "26 pages, 13 figures. Comments are welcome!",
  "categories": [
    "math.GT"
  ],
  "abstract": "We extend the construction of upsilon-type invariants to null-homologous knots in rational homology three-spheres. By considering $m$-fold cyclic branched covers with $m$ a prime power, this extension provides new knot concordance invariants $\\Upsilon_m^C (K)$. We give computations of these invariants for some families of alternating knots and reprove some independence results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-21T19:00:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M27"
    ],
    "keywords": [
      "upsilon invariants",
      "knot concordance invariants",
      "fold cyclic branched covers",
      "rational homology three-spheres",
      "independence results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}