{
  "id": "1903.11928",
  "version": "v1",
  "published": "2019-03-28T12:56:24.000Z",
  "updated": "2019-03-28T12:56:24.000Z",
  "title": "Fukaya category of surfaces and mapping class group action",
  "authors": [
    "Haniya Azam",
    "Christian Blanchet"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "We construct the Fukaya category of a surface with genus greater than one and compute its Grothendieck group. We consider here a topological variant, in which we disregard the area form and use instead an admissibility condition borrowed from Heegaard-Floer theory which ensures invariance under isotopy. We also study action of the mapping class group of the surface on its Fukaya category and establish faithfulness.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-28T12:56:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mapping class group action",
      "fukaya category",
      "genus greater",
      "grothendieck group",
      "area form"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}