{
  "id": "2002.02790",
  "version": "v1",
  "published": "2020-02-06T11:32:22.000Z",
  "updated": "2020-02-06T11:32:22.000Z",
  "title": "Slopes of links and signature formulas",
  "authors": [
    "Alex Degtyarev",
    "Vincent Florens",
    "Ana G. Lecuona"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1802.01836",
  "categories": [
    "math.GT"
  ],
  "abstract": "We present a new invariant, called slope, of a colored link in an integral homology sphere and use this invariant to complete the signature formula for the splice of two links. We develop a number of ways of computing the slope and a few vanishing results. Besides, we discuss the concordance invariance of the slope and establish its close relation to the Conway polynomials, on the one hand, and to the Kojima--Yamasaki $\\eta$-function (in the univariate case) and Cochran invariants, on the other hand.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-06T11:32:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27",
      "57M25",
      "57M12"
    ],
    "keywords": [
      "signature formula",
      "integral homology sphere",
      "univariate case",
      "conway polynomials",
      "close relation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}