2 edition of complex analytical theory of Teichmüller spaces found in the catalog.
complex analytical theory of Teichmüller spaces
|Series||Canadian Mathematical Society series of monographs and advanced texts = -- Monographies et études de la Société mathématique du Canada, Canadian Mathematical Society series of monographs and advanced texts|
|The Physical Object|
|Number of Pages||427|
We study complex-analytic properties of the augmented Teichmuller spaces ATS introduced by Lipman Bers. These spaces are obtained by adding to the classical Teichmuller space . Home Questions Tags Users Unanswered. Teichmuller Theory introduction Ask Question. This book would be on the far topologist-friendly end of the spectrum of books on the topic. Teichmüller Theory and Applications to Geometry, Topology, and Dynamics. Its a good book, but it builds up alot of technique before it gets to defining Teichmuller spaces.
Notes.- 6 Complex Analytic Theory of Teichmuller Spaces.- Bers' Embedding.- Invariance of Complex Structure of Teichmuller Space.- Teichmuller Modular Groups.- Royden's Theorems.- Classification of Teichmuller Modular Transformations John Hubbard has a recent book on Teichmuller theory which is quite good and geometric. What is a good introduction to Teichmuller theory, mapping class groups etc. Post as a guest Name. I find “An Introduction to Teichmuller spaces” by Imayoshi and Taniguchi to be a pretty good reference.
A survey of recent developments both in the classical and modern fields of the theory. Contents include: The complex analytic structure of the space of closed Riemann surfaces; Complex analysis on noncompact Riemann domains; Proof of the Teichmuller-Ahlfors theorem; The conformal mapping of Riemann surfaces; On certain coefficients of univalent functions; Compact analytic . John Hubbard has a recent book on Teichmuller theory which is quite good and geometric. I have long held a great admiration and appreciation for John Hamal Hubbard and his passionate engagement with mathematics Its a good book, but it builds up alot of technique before it gets to defining Teichmuller teich,uller. The complex analytic theory.
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Nag emphasizes the Bers embedding of Teichmuller spaces and deals with various types of complex-analytic coordinates for them.
This is the first book in which a complete exposition is given of the most basic fact that the Bers projection from Beltrami differentials onto Teichmuller space is a complex analytic by: Nag emphasizes the Bers embedding of Teichmüller spaces and deals with various types of complex-analytic coördinates for them.
This is the first book in which a complete exposition is given of the most basic fact that the Bers projection from Beltrami differentials onto Teichmüller space is a complex analytic submersion. In mathematics, the Teichmüller space of a (real) topological (or differential) surface, is a space that parametrizes complex structures on up to the action of homeomorphisms that are isotopic to the identity point in () may be regarded as an isomorphism class of "marked" Riemann surfaces, where a "marking" is an isotopy class of homeomorphisms from.
The Real Analytic Theory of Teichmuller Space by William Abikoff,available at Book Depository with free delivery worldwide.5/5(1). The modern aspects of the theory include Ahlfors's and Bers's natural complex analytic coordinates for Teichmuller space, the infinitesimal theory of Teichmuller's metric and Kobayashi's metric, Royden's theorem that the only biholomorphic self-mappings of Teichmuller's space are induced by elements of the modular group (the action of which.
Moreover, Teichmuller's theory of quasiconformal mappings and Teichmuller spaces made a start for new development of the theory of moduli, making possible a complex analytic approach toward the theory of moduli of Riemann theory was then investigated and made complete by Ahlfors, Bers, Rauch, and others.
Its a good book, but it builds up alot of technique before it gets to defining Teichmuller spaces. Although the treatment of Teichmuller spaces per se is brief in the book,it contains a wealth of other important topics related to Riemann surfaces.
This book offers an easy and compact access to the theory of Teichmüller spaces, starting from the most elementary aspects to the most recent developments, e.g.
the role this theory plays with regard to string theory. Teichmüller spaces give parametrization of all the complex structures on a given Riemann surface. Strebel, Quadratic differentials (careful exposition of the complex analytic results used to construct the cell decomposition mentioned above; not much about moduli spaces or Teichm\"uller theory though; Springer Erbebnisse).
Ahlfors, Lectures on quasi-conformal mappings (construction of Teichmuller spaces). A theme of much of Teichmuller theory is to compare the complex analytic theory where points are given by Riemann surfaces and the hyperbolic geometry.
Since the correspondence is given by the uniformization theorem, there are rarely exact formulae and one often has to rely on estimates in making comparisons. 2 ChapterA. Teichmuller˜ Theory Introduction Over the last ﬂve decades, beautiful results have been proved in the subject of Teichmuller˜ theory.
Recently this area has been in°uenced by the spirit of analytic and algebraic geometry as well as complex diﬁerential geometry. Deformation theory of compact complex manifolds was created in a. Paul Julius Oswald Teichmüller (German: [ˈɔsvalt ˈtaɪçmʏlɐ]; 18 June – 11 September ) was a German mathematician who made contributions to complex introduced quasiconformal mappings and differential geometric methods into the study of Riemann surfaces.
Teichmüller spaces are named after him. Born in Nordhausen, Teichmüller attended the. Moduli spaces were used since Riemann, who obtained this number 6g-6 by parameter count.
But they were never defined rigorously. Teichmuller had an insight that the extremal problems considered by Grotsch can be used to understand the "space of Riemann surfaces", and the crucial idea to consider Teichmuller space instead of the moduli space. Emphasis is placed on parts of the theory applicable to noncompact surfaces and to surfaces possibly of infinite analytic type.
The book provides a treatment of deformations of complex structures on infinite Riemann surfaces and gives background for further research in many areas. Print book: EnglishView all editions and formats: Summary: Dealing with the complex analytic theory of Teichmuller spaces, this book concentrates on providing a self-contained development of the fundamental results regarding the complex structure of the Read more Rating: (not yet rated) 0 with.
Abstract. We introduce a natural complex manifold structure of the Teichmüller space T(R) of a closed Riemann surface R of genus g (≧ 2), which is realized as a bounded domain in C 3gFurthermore, we prove that the Teichmüller modular group Mod(R) acts properly discontinuously as a group of biholomorphic automorphisms of T(R).
It is shown that any tangent vector to Teichmuller space is the initial data for a bending and for an earthquaking ordinary differential equation. Book Review: The complex analytic theory of.
Dealing with the complex analytic theory of Teichmuller spaces, this book concentrates on providing a self-contained development of the fundamental results regarding the complex structure of the Read more. Complex Analytic Theory of Teichmüller Spaces. Yoichi Imayoshi, Masahiko Taniguchi.
Pages Back Matter. Pages PDF. About this book. Keywords. Dimension Grad Riemann surface algebraic geometry complex analysis differential geometry ergodic theory geometry quantum theory topology. Although the treatment of Teichmuller spaces per se is brief in the book,it contains a wealth of other important topics related to Riemann surfaces.
Like everything Teichmullsr writes, it’s crystal clear if compressed within an epsilson of readability. Teichmüller Theory.
Jost makes up for the density of the text with its clarity. Find helpful customer reviews and review ratings for The Complex Analytic Theory of Teichmuller Spaces (Wiley-Interscience and Canadian Mathematics Series of Monographs and Texts) at Read honest and unbiased product reviews from our users.Riemann surfaces and Teichmuller theory (L24) Stergios M.
Antonakoudis This is an introduction to the theory of conformal dynamical systems, Riemann surfaces and their moduli spaces. One of the main goals of this course will be to construct and study the universal family of Riemann surfaces, using tools from complex analysis, geometry & dynamics.
Although the treatment of Teichmuller spaces per se is brief in the book,it contains a wealth of other important topics related to Riemann surfaces. Post as a guest Name. In addition to the ones already mentioned: If you’re more analytically minded, I recommend Gardiner and Lakic, Quasiconformal Teichmuller theory and Nag, The complex.