The study of mapping class groups, the moduli space of Riemann surfaces, Teuchmuller geometry and related areas has an advantage in its number of experienced scholars and at the same time the increasing number of those new to the field. To get them closer together, this collection of papers focuses on open problems and directions. Topics include cohomological combinatorial and algebraic structure, including finiteness and Torelli spaceshomomorphisms, and probing with arcs, connections with 3-manifolds, symplectic geometry and algebraic geometry, including problems in Heegaard distance and Lefschetz pencils, geometric and dynamical aspects, including problems on billiards and Weil-Petersson perspectives, and braid groups and other related groups, including Iwahori-Heck algebras and free Abelian groups. Papers include exercises and references. Annotation ©2006 Book News, Inc., Portland, OR (booknews.com)
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Zustand: New. Contains problems about mapping class groups, the moduli space of Riemann surfaces, and Teichmuller geometry. This book concentrates on connections with classification problems in 3-manifold theory, the theory of symplectic 4-manifolds, and algebraic geometry. It is suitable for those studying geometry, topology, and infinite groups. Editor(s): Farb, Benson. Series: Proceedings of Symposia in Pure Mathematics. Num Pages: 371 pages, Illustrations. BIC Classification: PBG; PBKD; PBMW; PBPD. Category: (P) Professional & Vocational. Weight in Grams: 833. . 2006. Hardcover. . . . . Bestandsnummer des Verkäufers V9780821838389
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Hardback. Zustand: New. illustrated Edition. 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. Bestandsnummer des Verkäufers LU-9780821838389
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Zustand: New. Contains problems about mapping class groups, the moduli space of Riemann surfaces, and Teichmuller geometry. This book concentrates on connections with classification problems in 3-manifold theory, the theory of symplectic 4-manifolds, and algebraic geometry. It is suitable for those studying geometry, topology, and infinite groups. Editor(s): Farb, Benson. Series: Proceedings of Symposia in Pure Mathematics. Num Pages: 371 pages, Illustrations. BIC Classification: PBG; PBKD; PBMW; PBPD. Category: (P) Professional & Vocational. Weight in Grams: 833. . 2006. Hardcover. . . . . Books ship from the US and Ireland. Bestandsnummer des Verkäufers V9780821838389
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Hardback. Zustand: New. illustrated Edition. 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. Bestandsnummer des Verkäufers LU-9780821838389
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