{
  "id": "1806.06709",
  "version": "v1",
  "published": "2018-06-18T14:01:18.000Z",
  "updated": "2018-06-18T14:01:18.000Z",
  "title": "Topological modular forms with level structure: decompositions and duality",
  "authors": [
    "Lennart Meier"
  ],
  "comment": "This supersedes the topological part of arXiv:1609.09264. 50 pages. Comments welcome",
  "categories": [
    "math.AT"
  ],
  "abstract": "Topological modular forms with level structure were introduced in full generality by Hill and Lawson. We will show that these decompose additively in many cases into a few simple pieces and give an application to equivariant $TMF$. Furthermore, we show which $Tmf_1(n)$ are self-Anderson dual up to a shift, both with and without their natural $C_2$-action.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-18T14:01:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55N34",
      "55U30",
      "55P91"
    ],
    "keywords": [
      "topological modular forms",
      "level structure",
      "decompositions",
      "full generality",
      "simple pieces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 50,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}