{
  "id": "2009.04255",
  "version": "v1",
  "published": "2020-09-08T12:21:30.000Z",
  "updated": "2020-09-08T12:21:30.000Z",
  "title": "The homotopy type of the space of algebraic loops on a toric variety",
  "authors": [
    "Andrzej Kozlowski",
    "Kohhei Yamaguchi"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1707.02603",
  "categories": [
    "math.AT"
  ],
  "abstract": "We investigate the homotopy type of the space of tuples of polynomials inducing base-point preserving algebraic maps from the circle S1 to a toric variety X{\\Sigma}. In particular, we prove a homotopy stability result for this space by combining the Vassiliev spectral sequence and the scanning map.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-08T12:21:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55P10",
      "55R80",
      "55P35",
      "14M25"
    ],
    "keywords": [
      "homotopy type",
      "toric variety",
      "algebraic loops",
      "homotopy stability result",
      "vassiliev spectral sequence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}