{
  "id": "2201.07517",
  "version": "v1",
  "published": "2022-01-19T10:34:29.000Z",
  "updated": "2022-01-19T10:34:29.000Z",
  "title": "Symplectic and Poisson geometry of the information geometry's Frobenius manifold",
  "authors": [
    "Noemie Combe",
    "Philippe Combe",
    "Hanna Nencka"
  ],
  "categories": [
    "math.AG",
    "math.DG",
    "math.SG"
  ],
  "abstract": "We prove that the information geometry's Frobenius manifold is a symplectic manifold having Poisson structures. By proving this statement, a bridge is created between the theories developed by Vinberg, Souriau and Koszul and the Frobenius manifold approach. Until now these approaches seemed disconnected.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-01-19T10:34:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "information geometrys frobenius manifold",
      "poisson geometry",
      "frobenius manifold approach",
      "symplectic manifold",
      "poisson structures"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}