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Auteur : Benson Farb
Catégorie : Livres anglais et étrangers,Science,Mathematics
Broché : * pages
Éditeur : *
Langue : Français, Anglais

The appearance of mapping class groups in mathematics is ubiquitous. The book presents 23 papers containing problems about mapping class groups, the moduli space of Riemann surfaces, Teichmuller geometry, and related areas. Each paper focuses completely on open problems and directions. The problems range in scope from specific computations, to broad programs. The goal is to have a rich source of problems which have been formulated explicitly and accessibly. The book is divided into four parts.Part I contains problems on the combinatorial and (co)homological group-theoretic aspects of mapping class groups, and the way in which these relate to problems in geometry and topology. Part II concentrates on connections with classification problems in 3-manifold theory, the theory of symplectic 4-manifolds, and algebraic geometry.A wide variety of problems, from understanding billiard trajectories to the classification of Kleinian groups, can be reduced to differential and synthetic geometry problems about moduli space. Such problems and connections are discussed in Part III. Mapping class groups are related, both concretely and philosophically, to a number of other groups, such as braid groups, lattices in semi simple Lie groups, and automorphism groups of free groups. Part IV concentrates on problems surrounding these relationships. This book should be of interest to anyone studying geometry, topology, algebraic geometry or infinite groups. It is meant to provide inspiration for everyone from graduate students to senior researchers.

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Problems on Mapping Class Groups and Related Topics ~ Problems on Mapping Class Groups and Related Topics Edited by Benson Farb Dept. of Mathematics, University of Chicago 5734 University Ave., Chicago, Il 60637 E-mail: farb@math.uchicago.edu. Dye mon, gen mon. Behind the mountains, more mountains. – Haitian proverb. Contents Preface v Part I. Cohomological, combinatorial and algebraic structure 1 Chapter 1. Four questions about mapping class .

Problems on Mapping Class Groups and Related Topics, Volume 74 ~ Problems on mapping class groups and related topics / Benson Farb, editor. p. cm. — (Proceedings of symposia in pure mathematics ; v. 74) Includes bibliographical references. ISBN-13: 978-0-8218-3838-9 (alk. paper) ISBN-10: 0-8218-3838-5 (alk. paper) 1. Mappings (Mathematics)-Congresses. 2. Class groups (Mathematics)-Congresses. I. Farb, Benson. QA360.P76 2006 511.3,3-dc22 2006048369 Copying .

Problems on Mapping Class Groups and Related Topics ~ Mapping class groups are related, both concretely and philosophically, to a number of other groups, such as braid groups, lattices in semisimple Lie groups, and automorphism groups of free groups. Part IV concentrates on problems surrounding these relationships. This book should be of interest to anyone studying geometry, topology, algebraic geometry or infinite groups. It is meant to provide .

Problems on Mapping Class Groups and Related Topics ~ Problems on Mapping Class Groups and Related Topics Share this page Edited by Benson Farb. The appearance of mapping class groups in mathematics is ubiquitous. The book presents 23 papers containing problems about mapping class groups, the moduli space of Riemann surfaces, Teichmüller geometry, and related areas. Each paper focusses completely on open problems and directions. The problems .

PROBLEMS, QUESTIONS, AND CONJECTURES ABOUT MAPPING CLASS ~ ping class groups of surfaces. In particular, we discuss problems related to linearity, congruence subgroups, cohomology, pseudo-Anosov stretch factors, Torelli groups, and normal subgroups. Beginning with the work of Max Dehn a century ago, the subject of mapping class groups has become a central topic in mathematics. It enjoys deep and varied connections to many other subjects, such as low .

Problems on mapping class groups and related topics (Book ~ Problems on mapping class groups and related topics. [Benson Farb;] Home. WorldCat Home About WorldCat Help. Search. Search for Library Items Search for Lists Search for Contacts Search for a Library. Create lists, bibliographies and reviews: or Search WorldCat. Find items in libraries near you .

Mapping Class Groups - Math ~ related to the mapping class groups. Nothing is said ab out relations with algebraic geometry and mathematical ph ysics; w e refer to the recen t surv ey of R. Hain and E. Lo oijenga [HL] for this. Tw o omitted topics are v ery closely related to the ones included. In order not pass them in complete silence, w e v ery brie y discuss them here. The rst one is the study of so-called T or el li .

Some problems on mapping class groups and moduli space ~ This paper presents a number of problems about mapping class groups and moduli space. The paper will appear in the book Problems on Mapping Class Groups and.

LECTURES ON THE MAPPING CLASS GROUP OF A SURFACE ~ Mapping class groups are needed in several other important areas. For example, in the theory of Lefschetz flbrations of 4-manifolds, [Au, Don, Gom]; in the Teichmuller˜ theory of surfaces in which the mapping class group acts on the Teichmmuller˜ space, [BH, Pa]; and in the theory of the Moduli space of algebraic curves and Riemann surfaces, [HL]. We will assume basic facts from topology .

Problems on Mapping Class Groups and Related Topics by ~ Problems on Mapping Class Groups and Related Topics book. Read reviews from world’s largest community for readers. The appearance of mapping class groups.

Problems on Mapping Class Groups and Related Topics page ix ~ Destination page number Search scope Search Text

A SHORT INTRODUCTION TO MAPPING CLASS GROUPS ~ Mapping class groups are also called \homeotopy groups" in the literature. There are variations for the de nition of M(), which may or may not give exactly the same group: We could x a smooth structure on and we could replace homeomorphisms by di eomorphisms or, alternatively, we could triangulate and replace homeomor- phisms by PL-homeomorphisms. However, this would not a ect the de nition of .

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Structure of the mapping class groups of surfaces: a ~ Structure of the mapping class groups of surfaces 353 Problem 2.1 Determine whether the Torelli group Ig (g ≥3) is finitely pre-sentable or not. If the answer is yes, give an explicit finite presentation of it. It should be mentioned here that Hain [41] proved that the Torelli Lie algebra tg, which is the Malcev Lie algebra of Ig, is finitely presentable for all g ≥3. Moreover he gave .

[math/0608325] Fifteen problems about the mapping class groups ~ Abstract: This paper presents fifteen problems about mapping class groups. It is an expanded and updated version of the author's preprint "Ten problems on the mapping class groups". The paper will appear in the book "Problems on Mapping Class Groups and Related Topics", ed. by B. Farb, Proc. Symp. Pure Math. series, Amer. Math. Soc.

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Problems on Mapping Class Groups and Related Topics ~ The appearance of mapping class groups in mathematics is ubiquitous. The book presents 23 papers containing problems about mapping class groups, the moduli space of Riemann surfaces, Teichmuller geometry, and related areas. Each paper focuses completely on open problems and directions. The problems range in scope from specific computations, to broad programs. The goal is to have a rich source .

Problems on Mapping Class Groups And Related Topics ~ Mapping class groups are related, both concretely and philosophically, to a number of other groups, such as braid groups, lattices in semisimple Lie groups, and automorphism groups of free groups. Part IV concentrates on problems surrounding these relationships. This book should be of interest to anyone studying geometry, topology, algebraic geometry or infinite groups. It is meant to provide .

Hottest 'mapping-class-groups' Answers - MathOverflow ~ An exponential-time solution to the conjugacy problem in the mapping class group was given by Jing Tao, in: Tao, Jing(1-OK) Linearly bounded conjugator property for mapping class groups. (English summary) Geom. Funct. Anal. 23 (2013), no. 1, 415–466. Tao's main contribution is to prove that two conjugate periodic mapping classes have a .

Problems on Mapping Class Groups and Related Topics ~ Compre online Problems on Mapping Class Groups and Related Topics, de Farb, Benson na Amazon. Frete GRÁTIS em milhares de produtos com o Amazon Prime. Encontre diversos livros escritos por Farb, Benson com ótimos preços.

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Mapping class group - Wikipedia ~ Mapping class groups of 3-manifolds have received considerable study as well, and are closely related to mapping class groups of 2-manifolds. For example, any finite group can be realized as the mapping class group (and also the isometry group) of a compact hyperbolic 3-manifold. Mapping class groups of pairs. Given a pair of spaces (X,A) the mapping class group of the pair is the isotopy .

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TWO QUESTIONS ON MAPPING CLASS GROUPS ~ the mapping class group ofΣr g, namely the group of isotopy classes of homeomor-phisms that fix the punctures. The following answers Question 6.4 of Farb (see Chapter 2 of [7]). Proposition 1.1. The central extensions of the mapping class group M g (or the punctured mapping class group M1 g,forg ≥ 4)byZ are residually finite. Remark 1.1 .

Problems on Mapping Class Groups and Related Topics - E ~ Pris: 1279 kr. E-bok, 2012. Laddas ned direkt. Köp Problems on Mapping Class Groups and Related Topics av Benson Farb på Bokus.