{
  "id": "math/0602539",
  "version": "v1",
  "published": "2006-02-23T22:29:30.000Z",
  "updated": "2006-02-23T22:29:30.000Z",
  "title": "String homology of spheres and projective spaces",
  "authors": [
    "Craig Westerland"
  ],
  "comment": "11 pages",
  "categories": [
    "math.AT"
  ],
  "abstract": "We study a spectral sequence that computes the (mod 2) S^1-equivariant homology of the free loop space LM of a manifold M (the \"string homology\" of M). Using it and knowledge of the string topology operations on the homology of LM, we compute the string homology of M when M is a sphere or a projective space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-02-23T22:29:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55N45",
      "55N91",
      "55S91"
    ],
    "keywords": [
      "string homology",
      "projective space",
      "free loop space lm",
      "spectral sequence",
      "string topology operations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......2539W"
    }
  }
}