{
  "id": "2404.12303",
  "version": "v1",
  "published": "2024-04-18T16:31:09.000Z",
  "updated": "2024-04-18T16:31:09.000Z",
  "title": "Wall crossing and the Fourier-Mukai transform for Grassmann flops",
  "authors": [
    "Nathan Priddis",
    "Mark Shoemaker",
    "Yaoxiong Wen"
  ],
  "comment": "40 pages, comments welcome!",
  "categories": [
    "math.AG"
  ],
  "abstract": "We prove the crepant transformation conjecture for relative Grassmann flops over a smooth base $B$. We show that the $I$-functions of the respective GIT quotients are related by analytic continuation and a symplectic transformation. We verify that the symplectic transformation is compatible with Iritani's integral structure, that is, that it is induced by a Fourier-Mukai transform in $K$-theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-04-18T16:31:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14N35",
      "14E16",
      "53D45"
    ],
    "keywords": [
      "fourier-mukai transform",
      "wall crossing",
      "symplectic transformation",
      "crepant transformation conjecture",
      "iritanis integral structure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 40,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}