{
  "id": "math/0101121",
  "version": "v1",
  "published": "2001-01-14T16:25:06.000Z",
  "updated": "2001-01-14T16:25:06.000Z",
  "title": "A renormalized Riemann-Roch formula and the Thom isomorphism for the free loop space",
  "authors": [
    "Matthew Ando",
    "Jack Morava"
  ],
  "comment": "to appear in Contemporary Math. [The Milgram Festschrift, ed. A. Adem, R. Cohen, G. Carlsson]",
  "categories": [
    "math.AT",
    "math-ph",
    "math.MP",
    "math.QA"
  ],
  "abstract": "Let E be a circle-equivariant complex-orientable cohomology theory. We show that the fixed-point formula applied to the free loopspace of a manifold X can be understood as a Riemann-Roch formula for the quotient of the formal group of E by a free cyclic subgroup. The quotient is not representable, but (locally at p) its p-torsion subgroup is, by a p-divisible group of height one greater than the formal group of E.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-01-14T16:25:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R91",
      "55N20",
      "14L05",
      "19L10",
      "55P92"
    ],
    "keywords": [
      "free loop space",
      "renormalized riemann-roch formula",
      "thom isomorphism",
      "formal group",
      "circle-equivariant complex-orientable cohomology theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......1121A"
    }
  }
}