Vector Calculus, Linear Algebra, and Differential Forms, A Unified Approach (with Barbara Burke Hubbard). Teichmüller Theory and Applications to Geometry. The first volume gave an introduction to Teichmüller theory. Volumes 2 through 4 prove four to Geometry, Topology, and Dynamics. John H. Hubbard 1, 2. Introduction to Teichmüller Theory. Michael Kapovich. August 31, 1 Introduction. This set of notes contains basic material on Riemann surfaces.
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Teichmüller Theory and Applications to Geometry, Topology, and Dynamics
In addition to the ones already mentioned: Email Required, but never shown. I find “An Introduction to Teichmuller spaces” by Imayoshi and Taniguchi to be a pretty good reference. John Hubbard has a recent book on Teichmuller theory which is quite good hubbrd geometric. I find this to be a very useful reference. Matrix Editions serious mathematics, written with the reader in mind.
For my own purposes the Hubbard book is what I’d consider a natural starting point. I have long held a great admiration and appreciation for John Hamal Hubbard and his passionate engagement with mathematics Sign up using Email and Password. Looking at my bookshelf, there’s a few other books that come to mind with varying levels of relevance:.
Ahlfors, Lectures on quasi-conformal mappings construction of Teichmuller spaces. But the most important novelty is provided by the author’s taste for hands-on geometric constructions and the enthusiasm with which he presents them.
It makes it a wonderfully self-contained resource, but it can also be daunting to someone trying to read it casually. The emphasis is on mapping class groups rather than Teichmuller theory, but the latter is certainly discussed.
This book develops a rich and interesting, interconnected body of mathematics that is also connected to many outside subjects. Looking at my bookshelf, there’s a few other books that come to mind with varying levels of relevance: Sign up using Facebook.
riemann surfaces – Teichmuller Theory introduction – MathOverflow
Hubbard’s book is by far the most readable for the average good student — I don’t think it makes sense to begin with anything else right now.
Teichmuller theory in Riemannian geometry. This is because the reader is yheory everywhere in the volume the deep insights of the author, who looks at the topics developed from a new vantage point.
teeichmuller This book would be on the far topologist-friendly end of the spectrum of books on the topic. Like everything Jost writes, it’s crystal clear if compressed within an epsilson of readability. Home Questions Tags Users Unanswered. When the projected series is finished,it should be the definitive introduction to the subject.
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Surface Homeomorphisms and Rational Functions From the foreword by William Thurston I have long held a great admiration and appreciation for John Hamal Hubbard and his passionate engagement with mathematics I commend it to you If you’re more analytically minded, I recommend Gardiner and Lakic, Quasiconformal Teichmuller theory and Nag, The complex hheory theory of 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.
Its advantage over Hubbard is that it exists on gigapedia, but I don’t know how it compares to the other books in this list. The foreword itself is worth reading Jost makes up for the density of the text with its clarity.
Sign up or log teichmmuller Sign up using Google. What is a good introduction to Teichmuller theory, mapping class groups etc. For connections between all these subjects,there’s probably no better current source then Jost’s Compact Riemann Surfaces.
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It treats a wonderful subject, and it is written by a great mathematician. The primer on mapping class groups, by Farb and Margalit.