{
  "id": "2410.06902",
  "version": "v1",
  "published": "2024-10-09T14:03:33.000Z",
  "updated": "2024-10-09T14:03:33.000Z",
  "title": "Commuting varieties and the rank filtration of topological K-theory",
  "authors": [
    "Simon Gritschacher"
  ],
  "comment": "15 pages",
  "categories": [
    "math.AT"
  ],
  "abstract": "We consider the space of $n$-tuples of pairwise commuting elements in the Lie algebra of $U(m)$. We relate its one-point compactification to the subquotients of certain rank filtrations of connective complex $K$-theory. We also describe the variant for connective real $K$-theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-10-09T14:03:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "rank filtration",
      "topological k-theory",
      "commuting varieties",
      "lie algebra",
      "one-point compactification"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}