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: Lectures on representations of surface groups
  name:
    name part: Labourie, François
    role:
      role term: creator
    role:
      role term: author.
  type of resource: text
  genre: bibliography
  origin info:
    place:
      place term: sz
    date issued: 2013
    copyright date: 2013
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: print
    extent: vii, 138 pages : illustrations ; 24 cm.
  abstract: The subject of these notes is the character variety of representations of a surface group in a Lie group. We emphasize the various points of view (combinatorial, differential, algebraic) and are interested in the description of its smooth points, symplectic structure, volume and connected components. We also show how a three manifold bounded by the surface leaves a trace in this character variety. These notes were originally designed for students with only elementary knowledge of differential geometry and topology. In the first chapters, we do not insist in the details of the differential geometric constructions and refer to classical textbooks, while in the more advanced chapters proofs occasionally are provided only for special cases where they convey the flavor of the general arguments. These notes could also be used by researchers entering this fast expanding field as motivation for further studies proposed in a concluding paragraph of every chapter.
  table of contents: 1. Introduction -- 2. Surfaces -- 3. Vector bundles and connections -- 4. Twisted cohomology -- 5. Moduli spaces -- 6. Symplectic structure -- 7. 3-manifolds and integrality questions
  note: François Labourie.
  note: Includes bibliographical references (page [132]-135) and index.
  subject:
    topic: Lie groups
  subject:
    topic: Geometry, Differential
  subject:
    topic: Topological groups
  classification: 512/.482
  related item:
    title info:
      title: Zurich lectures in advanced mathematics
  identifier: 9783037191279
  identifier: 3037191279
  record info:
    record content source: YDX
    record creation date: 140401
    record change date: 20151206101858.0
    record identifier: in00003434297