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:
    non sort: The
    title: Moduli Space of Curves
  name:
    name part: Dijkgraaf, Robbert H.
    role:
      role term: creator
  name:
    name part: Faber, Carel F.
  name:
    name part: Geer, Gerard B. M.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: mau
    date issued: 1995
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (XII, 563 pages)
  abstract: The moduli space Mg of curves of fixed genus g that is, the algebraic variety that parametrizes all curves of genus g is one of the most intriguing objects of study in algebraic geometry these days. Its appeal results not only from its beautiful mathematical structure but also from recent developments in theoretical physics, in particular in conformal field theory. Leading experts in the field explore in this volume both the structure of the moduli space of curves and its relationship with physics through quantum cohomology. Altogether, this is a lively volume that testifies to the ferment in the field and gives an excellent view of the state of the art for both mathematicians and theoretical physicists. It is a persuasive example of the famous Wignes comment, and its converse, on "the unreasonable effectiveness of mathematics in the natural science." Witteens conjecture in 1990 describing the intersection behavior of tautological classes in the cohomology of Mg arose directly from string theory. Shortly thereafter a stunning proof was provided by Kontsevich who, in this volume, describes his solution to the problem of counting rational curves on certain algebraic varieties and includes numerous suggestions for further development. The same problem is given an elegant treatment in a paper by Manin. There follows a number of contributions to the geometry, cohomology, and arithmetic of the moduli spaces of curves. In addition, several contributors address quantum cohomology and conformal field theory.
  note: edited by Robbert H. Dijkgraaf, Carel F. Faber, Gerard B.M. Geer.
  note: Electronic resource.
  subject:
    topic: Mathematics
  subject:
    topic: Geometry, Algebraic
  subject:
    topic: Topology
  subject:
    topic: Algebraic topology
  subject:
    topic: Algebraic topology
  subject:
    topic: Geometry, Algebraic
  subject:
    topic: Mathematics
  subject:
    topic: Topology
  classification: QA611-614.97
  classification: 514
  related item:
    title info:
      title: Progress in Mathematics ; ; 129
  identifier: 9781461242642 (electronic bk.)
  identifier: 1461242649 (electronic bk.)
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: I9W
    record creation date: 121227
    record change date: 20260423141751.1
    record identifier: in00003548198
    language of cataloging:
      language term: eng