{
  "id": "0803.1018",
  "version": "v5",
  "published": "2008-03-07T03:14:30.000Z",
  "updated": "2010-10-11T16:55:38.000Z",
  "title": "Positroids and Schubert matroids",
  "authors": [
    "Suho Oh"
  ],
  "comment": "10 pages, 1 figure. v5 simpler proof with improved writing. Submitted",
  "categories": [
    "math.CO"
  ],
  "abstract": "Postnikov gave a combinatorial description of the cells in a totally-nonnegative Grassmannian. These cells correspond to a special class of matroids called positroid. We prove his conjecture that a positroid is exactly an intersection of permuted Schubert matroids. This leads to a nice combinatorial description of positroids that is easily computable.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2010-10-11T16:55:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nice combinatorial description",
      "special class",
      "permuted schubert matroids",
      "postnikov gave",
      "cells correspond"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0803.1018O"
    }
  }
}