{
  "id": "2012.01475",
  "version": "v1",
  "published": "2020-12-02T19:32:38.000Z",
  "updated": "2020-12-02T19:32:38.000Z",
  "title": "Introduction to Whitney Towers",
  "authors": [
    "Rob Schneiderman"
  ],
  "comment": "74 pages, 64 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "These introductory notes on Whitney towers in 4-manifolds, as developed in collaboration with Jim Conant and Peter Teichner, are an expansion of three expository lectures given at the Winter Braids X conference February 2020 in Pisa, Italy. Topics presented include local manipulations of surfaces in 4-space, fundamental definitions related to Whitney towers and their associated trees, geometric Jacobi identities, the classification of order n twisted Whitney towers in the 4-ball and higher-order Arf invariants, and low-order Whitney towers on 2-spheres in 4-manifolds and related invariants.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-12-02T19:32:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "introduction",
      "low-order whitney towers",
      "higher-order arf invariants",
      "geometric jacobi identities",
      "jim conant"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 74,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}