{
  "id": "1607.08117",
  "version": "v1",
  "published": "2016-07-27T14:26:56.000Z",
  "updated": "2016-07-27T14:26:56.000Z",
  "title": "Correction terms and the non-orientable slice genus",
  "authors": [
    "Marco Golla",
    "Marco Marengon"
  ],
  "comment": "17 pages, 2 figures. Comments welcome!",
  "categories": [
    "math.GT"
  ],
  "abstract": "By considering negative surgeries on a knot $K$ in $S^3$, we derive a lower bound to the non-orientable slice genus $\\gamma_4(K)$ in terms of the signature $\\sigma(K)$ and the concordance invariants $V_i(\\overline{K})$, which strengthens a previous bound given by Batson, and which coincides with Ozsv\\'ath-Stipsicz-Szab\\'o's bound in terms of their $\\upsilon$ invariant for L-space knots and quasi-alternating knots. A curious feature of our bound is superadditivity, implying, for instance, that the bound on the stable non-orientable genus is sometimes better than the one on $\\gamma_4(K)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-07-27T14:26:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M27",
      "57R58"
    ],
    "keywords": [
      "non-orientable slice genus",
      "correction terms",
      "lower bound",
      "concordance invariants",
      "ozsvath-stipsicz-szabos bound"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}