H teichmuller theory and applications to geometry, topology, and. Theory of magnetism international max planck research school for dynamical processes in atoms, molecules and solids carsten timm technische universit at dresden, institute for theoretical physics. In these lectures i attempt to set forth some of the recent developments that had. We introduce the theory for thurstons characterization for postcritically finite rational maps1. Citeseerx download the complex analytic theory of teichmuller spaces subhashis nag is the author of the complex analytic theory of teichmuller spaces 5. The theory was made public in a series of four preprints posted in. It is a basic tool in the study of riemanns moduli spaces and the mapping class groups. Teichmuller theory and applications to geometry, topology, and dynamics. His approach to quasiconformal maps is more friendly to. Gardiner and jun hu proceedings of the year on teichmuller theory hri, allahabad, volume 10, 2009, pages 195228 abstract we present a brief exposition of teichmullers theorem. Get ebooks handbook of teichm ller theory on pdf, epub, tuebl, mobi and audiobook for free. Then you can start reading kindle books on your smartphone, tablet, or computer no kindle device required.
Riemann surfaces and teichmuller theory l24 stergios m. The goal of this paper is to develop an arithmetic teichmuller theory, by which we mean, introducing arithmetic. These objects are fundamental in several fields of mathematics, including algebraic geometry, number theory, topology, geometry, and dynamics. The mantra is studying objects in families gives important information about the individual objects. Geometry of teichmuller space with the teichmuller metric howard masur january 20, 2010 1 introduction the purpose of this chapter is to describe recent progress in the study of teichmuller geometry. Teichmuller theory and applications volume 1 pdf free download. A road to interuniversal teichmuller theory mathoverflow. Teichmuller theory and applications to geometry, topology. See, for example, kiran kedlayas lecture at the 2015 conference on interuniversal teichmuller theory at oxford. Pdf quasiconformal maps and teichmuller theoryextremal. Teichmuller theory and applications to geometry, topology, and dynamics volume 1. Other readers will always be interested in your opinion of the books youve read.
Handbook of teichmuller theory, volume iv books pics. Geometry of teichmuller space with the teichmuller metric howard masur january 20, 2010. Samples pages from each chapter and the appendices pdf. The primary focus of teichmuller theory is riemann surfaces of finite topological type, thus surfaces with g handles, m punctures, and n holes, for some triple of nonnegative integers g,m,n. Higher teichmuller theory attempts to create an analogous theory of representations of hyperbolic groups into higher rank lie groups, e. Table of contents, teichmuller theory volume 2 matrix editions. Preface the present lectures are based on a graduate course delivered by the author at the seoul national university, in the spring semester of 2010. The hubbard model is a highly oversimplified model for electrons in a solid which interact with each other through extremely short ranged repulsive coulomb interaction. The original setting of teichmuller theory is complex analysis. Miller cornell university march 2, 2008 abstract we provide a selfcontained, accessible introduction to ratners equidistribution theorem in the special case of horocyclic. These notes were written for some expository talks on teichmuller theory, given at. Athanase papadopoulos teichmuller theory is one of those few wonderful subjects which bring together, at an equally important level, fundamental ideas coming from different.
This is the scientology book that contained the process which led to genuine and justified outrage when it was practiced upon young children at school without consent. Buy teichmuller theory and applications to geometry, topology. Ill indicate its broad lines in the next few paragraphs. Please keep the item in its original condition, with outer box or case, cds, user manual, warranty cards, coupons and other. Introduction an orientation preserving homeomorphism f from a riemann surface x onto a riemann surface y is given.
This volume is the second of four volumes devoted to teichmuller theory and its applications to geometry. Kerckhoff receioed 8 december 1978 introduction teichmuller space is the space of conformal structures on a topological surface mr of genus g where two are equivalent if there is a conformal map between them which is homotopic to the identity. Before developing interuniversal teichmuller theory, mochizuki became wellknown for proving that hyperbolic curves which include, for example, elliptic curves with one point removed, and the projective line with three points removed are anabelian varieties. These notes were written for some expository talks on teichmuller.
The fenchelnielsen coordinates so named after werner fenchel and jakob nielsen on the teichmuller space are associated to a pants decomposition of the surface. Jun 06, 2006 buy teichmuller theory and applications to geometry, topology, and dynamics on free shipping. Enter your mobile number or email address below and well send you a link to download the free kindle app. Download fulltext pdf quasiconformal maps and teichmuller theoryextremal mappings, overview article pdf available in bulletin classe des sciences mathematiques et natturalles 14538.
Teichmuller theory and applications matrix editions. For general references for teichmuller theory, and quasiconformal mappings i refer to the books of l. What is a good introduction to teichmuller theory, mapping class groups etc. A survey of the very important weilpetersson metric can be found in w. Introduction much of the theory of riemann surfaces boils down to the following theorem, the twodimensional equivalent of thurstons.
Polynomials, hubbard trees, and matings the thurston theory a. The second of four volumes devoted to teichmuller theory and its applications to geometry, topology, and dynamics, this volume proves two theorems by william thurston. Stroock, an introduction to the analysis of paths on a riemannian manifold, 2000 73 john locker, spectral theory of nonselfadjoint twopoint differential operators, 2000. An ample information on the quadratic differentials and quasiconformal mappings can be found in. Higher teichmuller theory attempts to create an analogous. Abikoff, w the real analytic theory of teichmuller space. Jan 10, 2015 the mantra is studying objects in families gives important information about the individual objects. Surface homeomorphisms and rational functions, by john h. Pdf teichmuller theory and applications to geometry, topology. Interuniversal teichmuller theory i construction of hodge theaters shinichi mochizuki april2020 abstract. By knowing a few characteristics of a person, i have learned to know their entire personality, behavioral pattern and character. Quasiconformal mappings and teichmullers theorem by bers, lipman. Each point in may be regarded as an isomorphism class of marked riemann surfaces, where a marking is an isotopy class of homeomorphisms from to itself. The theory continues to be active, with numerous studies of the complex structure of.
The arithmetic of elliptic curves and advanced topics in the arithmetic of elliptic curves by joseph silverman. Always update books hourly, if not looking, search in the book search column. Teichmuller theory is the everexpanding manual to this unique feature of mathematics. Abstract we present a brief exposition of teichmullers. Much of this theory can be expressed in the language of anosov representations, which appear to be the correct generalization of the notion of a convex cocompact representation into a rank one lie. This is a decomposition of into pairs of pants, and to each curve in the decomposition is associated its length in the hyperbolic metric corresponding to the point in teichmuller space, and another real parameter called the. Antonakoudis this is an introduction to the theory of conformal dynamical systems, riemann surfaces and their moduli spaces. Complex structures, jacobians and the weil petersson form 31 lecture 4. Overview classical teichmuller theory studies the space of discrete.
Raction on these moduli spaces, the kontsevichzorich cocycle over the teichmuller geodesic. Differential equations are the main way in which mathematical models of real systems are constructed, and understanding their behavior is the main contribution a mathematician can make to applications. Grad riemann surface algebraic geometry complex analysis differential geometry ergodic theory geometry quantum theory. It is based on a course i taught at university of utah in 19921993. Gardiner and nikola lakic, quasiconformal teichmuller theory, 2000 75 greg hjorth, classification and orbit equivalence relations, 2000 74 daniel w. Handbook of teichmuller theory, volume i irma lectures in. The hubbard chart of human evaluation provided a complete description of the behavior patterns of an individual at any given emotion. Thurstons pullback map on the augmented teichmuller space and. This site is like a library, you could find million book here by using search box in the header. Teichmuller theory and applications ams bulletin of the american. Applied microeconomics consumption, production and markets this is a microeconomic theory book designed for upperdivision undergraduate students in economics and agricultural economics. I have tried to make 3 and 4 a little independent from 1 and 2 if one has a little.
Surface homeomorphisms and rational functions john h. Harmonic teichmuller mappings chen, xingdi and fang, ainong, proceedings of the japan academy, series a, mathematical sciences, 2006. Abstract we present a brief exposition of teichmuller s. Bers embedding and the bers boundary of teichmuller. Whether youve loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them.
Teichmuller theory and applications to geometry, topology, and. Gardiner and jun hu winter, 2005, hri, allahabad, india. Irma lectures in mathematics and theoretical physics 17 edited by christian kassel and vladimir g. Gardiner and jun hu proceedings of the year on teichmuller theory hri, allahabad, volume 10, 2009, pages 195228 abstract we present a brief exposition of teichmuller s theorem.
The patterson and bersgreenberg isomorphism theorems 29 2. Teichmuller theory and applications to geometry, topology, and dynamics hardcover june 6. Geometry of teichmuller space with the teichmuller metric. Length spectra and the teichmuller metric for surfaces with. Get your kindle here, or download a free kindle reading app. An introduction to teichmuller theory notes from a course given by dick canary, fall 2015 november 23, 2015 1 an overview of hyperbolic geometry 1. Introduction an orientation preserving homeomorphism ffrom a riemann surface x onto a riemann surface y is given. Handbook of teichm ller theory ebook download free pdf. Anosov representations for rank one people dick canary august 27, 2015 dick canary higher teichmuller theory. Differential equations are the main way in which mathematical models of real systems are constructed, and understanding their behavior is the main contribution a. This course was a prequel to the 19931994 course on thurstons hyperbolization. All books are in clear copy here, and all files are secure so dont worry about it. Polynomials, hubbard trees, and matings the thurston.
Teichmuller spaces of riemann surfaces, moduli spaces and modular groups. Every proof comes with geometric intuition, aided by many diagrams. Brief contents part i introduction to economics 1 1 the scope and method of economics 1 2 the economic problem. Teichmuller space encodes the possible number of ways in which you can deform complex structure on a space. A read is counted each time someone views a publication summary such as the title, abstract, and list of authors, clicks on a figure, or views or downloads the fulltext. There are more than 1 million books that have been enjoyed by people from all over the world.
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