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: Quantum Triangulations
    sub title: Moduli Spaces, Strings, and Quantum Computing
  name:
    name part: Carfora, Mauro.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Marzuoli, Annalisa.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2012
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XVII, 284 p. 90 illus., 10 illus. in color. online resource.
  abstract: Research on polyhedral manifolds often points to unexpected connections between very distinct aspects of Mathematics and Physics. In particular triangulated manifolds play quite a distinguished role in such settings as Riemann moduli space theory, strings and quantum gravity, topological quantum field theory, condensed matter physics, and critical phenomena. Not only do they provide a natural discrete analogue to the smooth manifolds on which physical theories are typically formulated, but their appearance is rather often a consequence of an underlying structure which naturally calls into play non-trivial aspects of representation theory, of complex analysis and topology in a way which makes manifest the basic geometric structures of the physical interactions involved. Yet, in most of the existing literature, triangulated manifolds are still merely viewed as a convenient discretization of a given physical theory to make it more amenable for numerical treatment. The motivation for these lectures notes is thus to provide an approachable introduction to this topic, emphasizing the conceptual aspects, and probing, through a set of cases studies, the connection between triangulated manifolds and quantum physics to the deepest. This volume addresses applied mathematicians and theoretical physicists working in the field of quantum geometry and its applications. .
  table of contents: Triangulated Surfaces and Polyhedral Structures -- Singular Euclidean Structures an Riemann Surfaces -- Polyhedral Surfaces and the Weil-Petersson Form -- The Quantum Geometry of Polyhedral Surfaces -- State Sum Models and Observables -- Combinatorial Framework for Topological Quantum Computing -- A Capsule of Moduli Space Theory -- Spectral Theory on Polyhedral Surfaces -- Index.
  note: by Mauro Carfora, Annalisa Marzuoli.
  subject:
    topic: Physics
  subject:
    topic: Mathematical physics
  subject:
    topic: Manifolds (Mathematics)
  subject:
    topic: Complex manifolds
  subject:
    topic: Gravitation
  subject:
    topic: Quantum physics
  subject:
    topic: Physics
  subject:
    topic: Physics, general
  subject:
    topic: Mathematical Physics
  subject:
    topic: Quantum Physics
  subject:
    topic: Manifolds and Cell Complexes (incl. Diff.Topology)
  subject:
    topic: Classical and Quantum Gravitation, Relativity Theory
  subject:
    topic: Mathematical Applications in the Physical Sciences
  classification: QC1-75
  classification: 530
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Lecture Notes in Physics, 845
  identifier: 9783642244407
  identifier: http://dx.doi.org/10.1007/978-3-642-24440-7
  record info:
    record creation date: 120113
    record change date: 20151123194853.0
    record identifier: 978-3-642-24440-7