rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Invariance theory
    sub title: the heat equation and the atiyah-singer index theorem
  title info:
    title: MATHnetBASE
  name:
    name part: Gilkey, Peter B.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Taylor & Francis
  name:
    name part: Taylor and Francis
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: flu
    date issued: 2018
    copyright date: 1994
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (536 pages).
  abstract: This book treats the Atiyah-Singer index theorem using the heat equation, which gives a local formula for the index of any elliptic complex. Heat equation methods are also used to discuss Lefschetz fixed point formulas, the Gauss-Bonnet theorem for a manifold with smooth boundary, and the geometrical theorem for a manifold with smooth boundary. The author uses invariance theory to identify the integrand of the index theorem for classical elliptic complexes with the invariants of the heat equation.
  table of contents: chapter 1 Pseudo-differential operators -- chapter 2 Characteristic classes -- chapter 3 The index theorem -- chapter 4 Spectral geom etry -- chapter 5 Bibliographic information.
  note: by Peter B. Gilkey.
  subject:
    topic: TECHNOLOGY & ENGINEERING / Mechanical
  subject:
    topic: SCIENCE / Physics
  subject:
    topic: Atiyah-Singer index theorem
  subject:
    topic: Differential operators
  subject:
    topic: Heat equation
  subject:
    topic: Invariants
  subject:
    topic: Manifolds (Mathematics)
  subject:
    topic: MATHEMATICS / Topology
  classification: QA614.92
  classification: 514/.74
  related item:
    title info:
      title: Studies in advanced mathematics
  identifier: 9780203749791
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: FlBoTFG
    record creation date: 180611
    record change date: 20220613175751.4
    record identifier: in00004580957