{
  "id": "1905.03483",
  "version": "v1",
  "published": "2019-05-09T08:22:38.000Z",
  "updated": "2019-05-09T08:22:38.000Z",
  "title": "Representations of braid groups and construction of projective surfaces",
  "authors": [
    "Francesco Polizzi"
  ],
  "comment": "Note written for the Proceedings of the Conference \"Group 32 - The 32nd International Colloquium on Group Theoretical Methods in Physics\", held on Czech Technical University (Prague) on July 9-13, 2018",
  "journal": "Journal of Physics: Conference Series, Volume 1194, Number 1 (2019)",
  "doi": "10.1088/1742-6596/1194/1/012089",
  "categories": [
    "math.AG",
    "math.GT"
  ],
  "abstract": "Braid groups are an important and flexible tool used in several areas of science, such as Knot Theory (Alexander's theorem), Mathematical Physics (Yang-Baxter's equation) and Algebraic Geometry (monodromy invariants). In this note we will focus on their algebraic-geometric aspects, explaining how the representation theory of higher genus braid groups can be used to produce interesting examples of projective surfaces defined over the field of complex numbers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-09T08:22:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J29",
      "20F36"
    ],
    "keywords": [
      "projective surfaces",
      "higher genus braid groups",
      "construction",
      "yang-baxters equation",
      "algebraic geometry"
    ],
    "tags": [
      "conference paper",
      "journal article"
    ],
    "publication": {
      "publisher": "IOP"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}