HUBBARD TEICHMULLER THEORY PDF

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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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 Teichmuller Theory introduction Ask Question.

Teichmuller theory in Riemannian geometry. John Hubbard has a recent book on Teichmuller theory which is quite good and geometric. I find this to be a very useful reference. 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.

Sign up or log in Sign up using Google. Hteory commend it to you This book would be on the far topologist-friendly end of the spectrum of books on the topic. I find “An Introduction to Teichmuller spaces” by Imayoshi and Taniguchi to be a pretty good reference.

Hubbbard Your Answer Discard By clicking “Post Your Answer”, you acknowledge that you have read our updated terms of serviceprivacy policy and cookie policyand that your continued use of the website is subject to these policies.

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By clicking “Post Your Answer”, you acknowledge that you have read our updated terms of serviceprivacy policy and cookie policyand that your continued use of the website is subject to these policies. When the projected series is finished,it should be the definitive introduction to the subject. The emphasis teihcmuller on mapping class groups rather than Teichmuller theory, but the latter is certainly discussed.

Hubbard’s book is by far the most hubhard for the average good student — I don’t think it makes sense to begin with anything else right now. Home Questions Tags Users Unanswered. It is now an essential reference for every student and every researcher in the field.

Archive ouverte HAL – Teichmüller Theory and Applications to Geometry, Topology, and Dynamics

Ahlfors, Lectures on quasi-conformal mappings construction of Teichmuller spaces. Like everything Jost writes, it’s crystal clear if compressed within an epsilson of readability.

Bers’s papers in Analytic functions, Princeton, By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service. Sign up using Email and Password. Ivanov has a nice review of much of the theory of mapping class groups here. What is a good introduction to Teichmuller theory, mapping class groups etc. Looking at my hubbsrd, there’s a few other books that come to mind with varying levels of relevance: From the foreword by Clifford Earle Email Required, but never shown.

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Teichmüller Theory

The foreword itself is worth reading Its a good book, but it builds up alot of technique before it gets to defining Teichmuller spaces. Post as a guest Name. Sign up using Facebook. 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.

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The primer on mapping class groups, by Farb and Margalit.

For connections between all these subjects,there’s probably no better current teichmullef then Jost’s Compact Riemann Surfaces.

If you’re more analytically minded, I recommend Gardiner and Lakic, Quasiconformal Teichmuller theory and Nag, The complex analytic theory of Teichmuller spaces.

Teichmüller Theory and Applications to Geometry, Topology, and Dynamics

It makes it a wonderfully self-contained resource, but it can also be daunting to someone trying to read it casually. 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. Harer’s lecture notes on the cohomology of moduli spaces doesn’t have all the proofs, but describes the main ideas related to the cell decomposition of the moduli spaces; Springer LNM something, I believe; unfortunately I’m away for the holidays and can’t access Mathscinet to find a precise reference.