{
  "id": "math/0105224",
  "version": "v1",
  "published": "2001-05-27T20:08:25.000Z",
  "updated": "2001-05-27T20:08:25.000Z",
  "title": "On the kinkiness of closed braids",
  "authors": [
    "Christian Bohr"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "In this note, we prove a lower bound for the positive kinkiness of a closed braid which we then use to derive an estimate for the positive kinkiness of a link in terms of its Seifert system. As an application, we show that certain pretzel knots cannot be unknotted using only positive crossing changes. We also describe a subgroup of infinite rank in the smooth knot concordance group of which no element has a strongly quasipositive representative.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-05-27T20:08:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M27"
    ],
    "keywords": [
      "closed braid",
      "smooth knot concordance group",
      "positive kinkiness",
      "pretzel knots",
      "lower bound"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......5224B"
    }
  }
}