Hardcover ISBN: | 978-3-03719-203-0 |
Product Code: | EMSILMTP/30 |
List Price: | $108.00 |
AMS Member Price: | $86.40 |
Hardcover ISBN: | 978-3-03719-203-0 |
Product Code: | EMSILMTP/30 |
List Price: | $108.00 |
AMS Member Price: | $86.40 |
-
Book DetailsEMS IRMA Lectures in Mathematics and Theoretical PhysicsVolume: 30; 2020; 626 ppMSC: Primary 30; 32; 14; 57; 01
The seventh volume in the Handbook of Teichmüller Theory series is divided into three parts.
The first part contains surveys on various topics in Teichmüller theory, including the complex structure of Teichmüller space, the Deligne-Mumford compactification of the moduli space, holomorphic quadratic differentials, Kleinian groups, hyperbolic 3-manifolds and the ending lamination theorem, the universal Teichmüller space, barycentric extensions of maps of the circle, and the theory of Higgs bundles.
The second part consists of three historico-geometrical articles on Tissot (a precursor of the theory of quasiconfomal mappings), Grötzsch and Lavrentieff, the two main founders of the modern theory of quasiconformal mappings.
The third part comprises English translations of five papers by Grötzsch, a paper by Lavrentieff, and three papers by Teichmüller. These nine papers are foundational essays on the theories of conformal invariants and quasiconformal mappings, with applications to conformal geometry, to the type of problem and to Nevanlinna's theory. The papers are followed by commentaries that highlight the relations between them and between later works on the subject. These papers are not only historical documents; they constitute an invaluable source of ideas for current research in Teichmüller theory.
A publication of the European Mathematical Society. Distributed within the Americas by the American Mathematical Society.
ReadershipResearchers and graduate students.
-
Additional Material
-
RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Additional Material
- Requests
The seventh volume in the Handbook of Teichmüller Theory series is divided into three parts.
The first part contains surveys on various topics in Teichmüller theory, including the complex structure of Teichmüller space, the Deligne-Mumford compactification of the moduli space, holomorphic quadratic differentials, Kleinian groups, hyperbolic 3-manifolds and the ending lamination theorem, the universal Teichmüller space, barycentric extensions of maps of the circle, and the theory of Higgs bundles.
The second part consists of three historico-geometrical articles on Tissot (a precursor of the theory of quasiconfomal mappings), Grötzsch and Lavrentieff, the two main founders of the modern theory of quasiconformal mappings.
The third part comprises English translations of five papers by Grötzsch, a paper by Lavrentieff, and three papers by Teichmüller. These nine papers are foundational essays on the theories of conformal invariants and quasiconformal mappings, with applications to conformal geometry, to the type of problem and to Nevanlinna's theory. The papers are followed by commentaries that highlight the relations between them and between later works on the subject. These papers are not only historical documents; they constitute an invaluable source of ideas for current research in Teichmüller theory.
A publication of the European Mathematical Society. Distributed within the Americas by the American Mathematical Society.
Researchers and graduate students.