The Hyperbolization Theorem For Fibered 3 Manifolds
DOWNLOAD
Download The Hyperbolization Theorem For Fibered 3 Manifolds PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get The Hyperbolization Theorem For Fibered 3 Manifolds book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
The Hyperbolization Theorem For Fibered 3 Manifolds
DOWNLOAD
Author : Jean-Pierre Otal
language : en
Publisher: American Mathematical Soc.
Release Date : 2001
The Hyperbolization Theorem For Fibered 3 Manifolds written by Jean-Pierre Otal and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
For graduate students familiar with low-dimensional topology and researchers in geometry and topology, Otal (CNRS-UMR 128, Lyon) offers a complete proof of Thurston's hyperbolization theorem for 3-manifolds that fiber as surface bundles. The original Le Theoreme d'Hyperbolisation pour les Varietes de Dimension 3, published by the French Mathematical Society in 1996, has been translated by Leslie D. Kay. c. Book News Inc.
Hyperbolic Manifolds And Discrete Groups
DOWNLOAD
Author : Michael Kapovich
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-08-04
Hyperbolic Manifolds And Discrete Groups written by Michael Kapovich and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-04 with Mathematics categories.
The main goal of the book is to present a proof of the following. Thurston's Hyperbolization Theorem ("The Big Monster"). Suppose that M is a compact atoroidal Haken 3-manifold that has zero Euler characteristic. Then the interior of M admits a complete hyperbolic metric of finite volume. This theorem establishes a strong link between the geometry and topology 3 of 3-manifolds and the algebra of discrete subgroups of Isom(JH[ ). It completely changed the landscape of 3-dimensional topology and theory of Kleinian groups. Further, it allowed one to prove things that were beyond the reach of the standard 3-manifold technique as, for example, Smith's conjecture, residual finiteness of the fundamental groups of Haken manifolds, etc. In this book we present a complete proof of the Hyperbolization Theorem in the "generic case." Initially we planned 1 including a detailed proof in the remaining case of manifolds fibered over § as well. However, since Otal's book [Ota96] (which treats the fiber bundle case) became available, only a sketch of the proof in the fibered case will be given here.
Canonical Wick Rotations In 3 Dimensional Gravity
DOWNLOAD
Author : R. Benedetti
language : en
Publisher: American Mathematical Soc.
Release Date : 2009-03-06
Canonical Wick Rotations In 3 Dimensional Gravity written by R. Benedetti and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-06 with Mathematics categories.
The authors develop a canonical Wick rotation-rescaling theory in $3$-dimensional gravity. This includes (a) A simultaneous classification: this shows how maximal globally hyperbolic spacetimes of arbitrary constant curvature, which admit a complete Cauchy surface and canonical cosmological time, as well as complex projective structures on arbitrary surfaces, are all different materializations of ``more fundamental'' encoding structures. (b) Canonical geometric correlations: this shows how spacetimes of different curvature, that share a same encoding structure, are related to each other by canonical rescalings, and how they can be transformed by canonical Wick rotations in hyperbolic $3$-manifolds, that carry the appropriate asymptotic projective structure. Both Wick rotations and rescalings act along the canonical cosmological time and have universal rescaling functions. These correlations are functorial with respect to isomorphisms of the respective geometric categories.
The Millennium Prize Problems
DOWNLOAD
Author : James Carlson
language : en
Publisher: American Mathematical Society, Clay Mathematics Institute
Release Date : 2023-09-14
The Millennium Prize Problems written by James Carlson and has been published by American Mathematical Society, Clay Mathematics Institute this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-14 with Mathematics categories.
On August 8, 1900, at the second International Congress of Mathematicians in Paris, David Hilbert delivered his famous lecture in which he described twenty-three problems that were to play an influential role in mathematical research. A century later, on May 24, 2000, at a meeting at the Collège de France, the Clay Mathematics Institute (CMI) announced the creation of a US$7 million prize fund for the solution of seven important classic problems which have resisted solution. The prize fund is divided equally among the seven problems. There is no time limit for their solution. The Millennium Prize Problems were selected by the founding Scientific Advisory Board of CMI—Alain Connes, Arthur Jaffe, Andrew Wiles, and Edward Witten—after consulting with other leading mathematicians. Their aim was somewhat different than that of Hilbert: not to define new challenges, but to record some of the most difficult issues with which mathematicians were struggling at the turn of the second millennium; to recognize achievement in mathematics of historical dimension; to elevate in the consciousness of the general public the fact that in mathematics, the frontier is still open and abounds in important unsolved problems; and to emphasize the importance of working towards a solution of the deepest, most difficult problems. The present volume sets forth the official description of each of the seven problems and the rules governing the prizes. It also contains an essay by Jeremy Gray on the history of prize problems in mathematics.
Proceedings Of The International Congress Of Mathematicians 2018 Icm 2018 In 4 Volumes
DOWNLOAD
Author : Boyan Sirakov
language : en
Publisher: World Scientific
Release Date : 2019-02-27
Proceedings Of The International Congress Of Mathematicians 2018 Icm 2018 In 4 Volumes written by Boyan Sirakov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-27 with Mathematics categories.
The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.
Mem Ria D Activitats 2002 Report Of Activities 2002
DOWNLOAD
Author :
language : en
Publisher: Institut d'Estudis Catalans
Release Date :
Mem Ria D Activitats 2002 Report Of Activities 2002 written by and has been published by Institut d'Estudis Catalans this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Collected Works Of William P Thurston With Commentary
DOWNLOAD
Author : Benson Farb
language : en
Publisher: American Mathematical Society
Release Date : 2023-06-05
Collected Works Of William P Thurston With Commentary written by Benson Farb and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-05 with Mathematics categories.
William Thurston's work has had a profound influence on mathematics. He connected whole mathematical subjects in entirely new ways and changed the way mathematicians think about geometry, topology, foliations, group theory, dynamical systems, and the way these areas interact. His emphasis on understanding and imagination in mathematical learning and thinking are integral elements of his distinctive legacy. This four-part collection brings together in one place Thurston's major writings, many of which are appearing in publication for the first time. Volumes I–III contain commentaries by the Editors. Volume IV includes a preface by Steven P. Kerckhoff. Volume I contains William Thurston's papers on foliations, mapping classes groups, and differential geometry.
Spaces Of Kleinian Groups
DOWNLOAD
Author : Yair N. Minsky
language : en
Publisher: Cambridge University Press
Release Date : 2006-06-19
Spaces Of Kleinian Groups written by Yair N. Minsky and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-06-19 with Mathematics categories.
The subject of Kleinian groups and hyperbolic 3-manifolds is currently undergoing explosively fast development. This volume contains important expositions on topics such as topology and geometry of 3-manifolds, curve complexes, classical Ahlfors-Bers theory and computer explorations. Researchers in these and related areas will find much of interest here.
Thin Groups And Superstrong Approximation
DOWNLOAD
Author : Emmanuel Breuillard
language : en
Publisher: Cambridge University Press
Release Date : 2014-02-17
Thin Groups And Superstrong Approximation written by Emmanuel Breuillard and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-17 with Mathematics categories.
This collection of survey articles focuses on recent developments at the boundary between geometry, dynamical systems, number theory and combinatorics.
Ricci Flow And Geometric Applications
DOWNLOAD
Author : Michel Boileau
language : en
Publisher: Springer
Release Date : 2016-09-09
Ricci Flow And Geometric Applications written by Michel Boileau and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-09 with Mathematics categories.
Presenting some impressive recent achievements in differential geometry and topology, this volume focuses on results obtained using techniques based on Ricci flow. These ideas are at the core of the study of differentiable manifolds. Several very important open problems and conjectures come from this area and the techniques described herein are used to face and solve some of them. The book’s four chapters are based on lectures given by leading researchers in the field of geometric analysis and low-dimensional geometry/topology, respectively offering an introduction to: the differentiable sphere theorem (G. Besson), the geometrization of 3-manifolds (M. Boileau), the singularities of 3-dimensional Ricci flows (C. Sinestrari), and Kähler–Ricci flow (G. Tian). The lectures will be particularly valuable to young researchers interested in differential manifolds.