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: Dynamical Aspects of Teichmüller Theory
    sub title: SL(2,R)-Action on Moduli Spaces of Flat Surfaces
  name:
    name part: Matheus Silva Santos, Carlos.
    role:
      role term: creator
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2018
    edition: 1st ed. 2018.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIV, 122 p. 28 illus. online resource.
  abstract: This book is a remarkable contribution to the literature on dynamical systems and geometry. It consists of a selection of work in current research on Teichmüller dynamics, a field that has continued to develop rapidly in the past decades. After a comprehensive introduction, the author investigates the dynamics of the Teichmüller flow, presenting several self-contained chapters, each addressing a different aspect on the subject. The author includes innovative expositions, all the while solving open problems, constructing examples, and supplementing with illustrations. This book is a rare find in the field with its guidance and support for readers through the complex content of moduli spaces and Teichmüller Theory. The author is an internationally recognized expert in dynamical systems with a talent to explain topics that is rarely found in the field. He has created a text that would benefit specialists in, not only dynamical systems and geometry, but also Lie theory and number theory.
  table of contents: Introduction -- Proof of the Eskin-Kontsevich-Zorich Regularity Conjecture -- Arithmetic Teichmüller Curves with Complementary Series -- Some Finiteness Results for Algebraically Primitive Teichmüller Curves -- Simplicity of Lyapunov Exponents of Arithmetic Teichmüller Curves -- An Example of Quaternionic Kontsevich-Zorich Monodromy Group.
  note: by Carlos Matheus Silva Santos.
  subject:
    topic: Dynamics
  subject:
    topic: Ergodic theory
  subject:
    topic: Algebraic geometry
  subject:
    topic: Topology
  subject:
    topic: Dynamical Systems and Ergodic Theory
  subject:
    topic: Algebraic Geometry
  subject:
    topic: Topology
  classification: QA313
  classification: 515.39
  classification: 515.48
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Atlantis Studies in Dynamical Systems ; 7
  identifier: 9783319921594
  identifier: https://doi.org/10.1007/978-3-319-92159-4
  record info:
    record creation date: 180709
    record change date: 20191028092043.0
    record identifier: 978-3-319-92159-4