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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Its a good book, but it builds up alot of technique before it gets teichmller defining Teichmuller spaces. Ivanov has a nice review of much of the theory of mapping class groups here.
John Hubbard has a recent book on Teichmuller theory which is quite good and geometric. Like everything Jost writes, it’s crystal clear if compressed within an epsilson of readability. Sign up or log in Sign up using Google.
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 What is a good introduction to Teichmuller theory, mapping class groups etc.
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For connections between trichmuller these subjects,there’s probably no better current source then Jost’s Compact Riemann Surfaces. For my own purposes the Hubbard book is what I’d consider a natural starting point. I find “An Introduction to Teichmuller spaces” by Imayoshi and Taniguchi to be a pretty good reference. If you’re more analytically minded, I recommend Gardiner and Lakic, Quasiconformal Teichmuller theory and Nag, The complex analytic theory of Teichmuller spaces.
Bers’s papers in Analytic functions, Princeton, Looking at my bookshelf, there’s a few other books that come to mind with varying levels of relevance: Jost makes up for the density of the text with its clarity.
Teichmuller theory in Riemannian geometry.
Matrix Editions serious mathematics, written with the reader in mind. I have long held a great admiration teichmukler appreciation for John Hamal Hubbard and his passionate engagement with mathematics Home Questions Tags Users Unanswered.
Looking at my bookshelf, there’s a few other books that come to mind with varying levels of relevance:. When the projected series is finished,it should be the definitive introduction to the subject.
This book develops a rich and interesting, interconnected body of mathematics that is also connected to many outside subjects. Ahlfors, Lectures on quasi-conformal mappings construction of Teichmuller spaces.
“And don’t call me Shirley”
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. Sign up using Email and Password. It treats a wonderful subject, and it is written by a great mathematician.
The emphasis is on mapping class groups rather than Teichmuller theory, but the latter is certainly discussed. Post as a guest Name. Email Required, but never shown. The foreword itself is worth reading Although the treatment of Teichmuller spaces per se is brief in the book,it contains a wealth of other important topics related teichmullr Riemann surfaces. I only wish that I fheory had access to a source of this caliber much earlier in my career.
Teichmuller Theory introduction Ask Question. This is because the reader is offered everywhere in the volume the deep insights of teichmhller author, who looks at the topics developed from a new vantage point. Surface Homeomorphisms and Rational Functions. 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.
It is now an essential reference for every student and every researcher in the field.