{
  "id": "1610.10032",
  "version": "v1",
  "published": "2016-10-31T17:53:49.000Z",
  "updated": "2016-10-31T17:53:49.000Z",
  "title": "Handle decompositions of rational balls and Casson-Gordon invariants",
  "authors": [
    "Paolo Aceto",
    "Marco Golla",
    "Ana G. Lecuona"
  ],
  "comment": "12 pages, 1 figure, comments welcome!",
  "categories": [
    "math.GT"
  ],
  "abstract": "Given a rational homology sphere which bounds rational homology balls, we investigate the complexity of these balls as measured by the number of 1-handles in a handle decomposition. We use Casson-Gordon invariants to obtain lower bounds which also lead to lower bounds on the fusion number of ribbon knots. We use Levine-Tristram signatures to compute these bounds and produce explicit examples.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-31T17:53:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M27",
      "57R65"
    ],
    "keywords": [
      "casson-gordon invariants",
      "handle decomposition",
      "rational balls",
      "lower bounds",
      "bounds rational homology balls"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}