{
  "id": "1610.03187",
  "version": "v1",
  "published": "2016-10-11T04:57:42.000Z",
  "updated": "2016-10-11T04:57:42.000Z",
  "title": "A note on (co)homologies of algebras from unpunctured surfaces",
  "authors": [
    "Yadira Valdivieso-Díaz"
  ],
  "categories": [
    "math.RT",
    "math.RA"
  ],
  "abstract": "In a previous paper, the author compute the dimension of Hochschild cohomology groups of Jacobian algebras from (unpunctured) triangulated surfaces, and gave a geometric interpretation of those numbers in terms of the number of internal triangles, the number of vertices and the existence of certain kind of boundaries. The aim of this note is computing the cyclic (co)homology and the Hochschild homology of the same family of algebras and giving an interpretation of those dimensions through elements of the triangulated surface.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-11T04:57:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "unpunctured surfaces",
      "hochschild cohomology groups",
      "triangulated surface",
      "hochschild homology",
      "internal triangles"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}