Buch, Englisch, Band 30, 6166 Seiten, Format (B × H): 170 mm x 240 mm
Buch, Englisch, Band 30, 6166 Seiten, Format (B × H): 170 mm x 240 mm
Reihe: IRMA Lectures in Mathematics and Theoretical Physics
ISBN: 978-3-03719-203-0
Verlag: EMS Press
This volume is the seventh in a series dedicated to Teichmu¨ller 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 Teichmu¨ller theory, including the complex structure of Teichmu¨ller space, the Deligne–Mumford compactification of the moduli space, holomorphic quadratic differentials, Kleinian groups, hyperbolic 3-manifolds and the ending lamination theorem, the universal Teichmu¨ller 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 Teichmu¨ller. 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 These papers are not only historical documents; they constitute an invaluable source of ideas for current research in Teichmu¨ller theory.
Zielgruppe
Researchers and graduate students.
