{
  "id": "math/0606383",
  "version": "v4",
  "published": "2006-06-15T23:31:53.000Z",
  "updated": "2009-03-30T20:21:52.000Z",
  "title": "Degeneration of Heegaard genus, a survey",
  "authors": [
    "David Bachman",
    "Ryan Derby-Talbot"
  ],
  "comment": "This is the version published by Geometry & Topology Monographs on 3 December 2007",
  "journal": "Geom. Topol. Monogr. 12 (2007) 1-15",
  "doi": "10.2140/gtm.2007.12.1",
  "categories": [
    "math.GT"
  ],
  "abstract": "We survey known (and unknown) results about the behavior of Heegaard genus of 3-manifolds constructed via various gluings. The constructions we consider are (1) gluing together two 3-manifolds with incompressible boundary, (2) gluing together the boundary components of surface times I, and (3) gluing a handlebody to the boundary of a 3-manifold. We detail those cases in which it is known when the Heegaard genus is less than what is expected after gluing.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2009-03-30T20:21:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M99",
      "57N10",
      "57M27"
    ],
    "keywords": [
      "heegaard genus",
      "degeneration",
      "boundary components",
      "surface times"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......6383B"
    }
  }
}