Handbook of Teichmüller Theory, Volume VII -

Handbook of Teichmüller Theory, Volume VII

Athanase Papadopoulos (Herausgeber)

Buch | Hardcover
626 Seiten
2020
EMS Press (Verlag)
978-3-03719-203-0 (ISBN)
88,00 inkl. MwSt
This volume is the seventh in a series dedicated to Teichmüller theory in a broad sense, including various moduli and deformation spaces, and the study of mapping class groups. It 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 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 These papers are not only historical documents; they constitute an invaluable source of ideas for current research in Teichmüller theory.
Erscheinungsdatum
Reihe/Serie IRMA Lectures in Mathematics and Theoretical Physics ; 30
Verlagsort Zurich
Sprache englisch
Maße 170 x 240 mm
Themenwelt Mathematik / Informatik Mathematik Analysis
Schlagworte complex geodesic • conformal invariant • Deligne–Mumford compactification • Fuchsian and quasi-Fuchsian group • Higgs bundle • holomorphic differential • Kleinian group • projective structure • quasisymmetric map • Riemann surface • Teichmüller space • universal Teichmüller space
ISBN-10 3-03719-203-8 / 3037192038
ISBN-13 978-3-03719-203-0 / 9783037192030
Zustand Neuware
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