Low-dimensional Topology and Kleinian Groups PDF Download

Author: D. B. A. Epstein
Publisher: CUP Archive
ISBN: 9780521339056
Category : Mathematics
Languages : en
Pages : 340

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Book Description
Volume 2 is divided into three parts: the first 'Surfaces' contains an article by Thurston on earthquakes and by Penner on traintracks. The second part is entitled 'Knots and 3-Manifolds' and the final part 'Kleinian Groups'.

Author: Olivier Collin
Publisher: American Mathematical Soc.
ISBN: 147045209X
Category : Education
Languages : en
Pages : 353

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Book Description
This volume contains the proceedings of a conference celebrating the work of Steven Boyer, held from June 2–6, 2018, at Université du Québec à Montréal, Montréal, Québec, Canada. Boyer's contributions to research in low-dimensional geometry and topology, and to the Canadian mathematical community, were recognized during the conference. The articles cover a broad range of topics related, but not limited, to the topology and geometry of 3-manifolds, properties of their fundamental groups and associated representation varieties.

Author: R. Brown
Publisher: Cambridge University Press
ISBN: 0521281466
Category : Mathematics
Languages : en
Pages : 261

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Book Description
This volume consists of the proceedings of a conference held at the University College of North Wales (Bangor) in July of 1979. It assembles research papers which reflect diverse currents in low-dimensional topology. The topology of 3-manifolds, hyperbolic geometry and knot theory emerge as major themes. The inclusion of surveys of work in these areas should make the book very useful to students as well as researchers.

Author: Hanna Nencka
Publisher: American Mathematical Soc.
ISBN: 0821808842
Category : Mathematics
Languages : en
Pages : 266

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Book Description
"The book has two main parts. The first is devoted to the Poincare conjecture, characterizations of PL-manifolds, covering quadratic forms of links and to categories in low dimensional topology that appear in connection with conformal and quantum field theory.

Author: Roger Fenn
Publisher: Cambridge University Press
ISBN: 0521269822
Category : Mathematics
Languages : en
Pages : 277

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Book Description
In this volume, which is dedicated to H. Seifert, are papers based on talks given at the Isle of Thorns conference on low dimensional topology held in 1982.

Author: K. Böröczky
Publisher:
ISBN:
Category : Low-dimensional topology
Languages : en
Pages : 424

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Book Description

Author: D. B. A. Epstein
Publisher:
ISBN:
Category : Kleinian groups
Languages : en
Pages : 321

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Book Description

Author: Tomasz Mrowka
Publisher: American Mathematical Soc.
ISBN: 0821886967
Category : Mathematics
Languages : en
Pages : 331

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Book Description
Low-dimensional topology has long been a fertile area for the interaction of many different disciplines of mathematics, including differential geometry, hyperbolic geometry, combinatorics, representation theory, global analysis, classical mechanics, and theoretical physics. The Park City Mathematics Institute summer school in 2006 explored in depth the most exciting recent aspects of this interaction, aimed at a broad audience of both graduate students and researchers. The present volume is based on lectures presented at the summer school on low-dimensional topology. These notes give fresh, concise, and high-level introductions to these developments, often with new arguments not found elsewhere. The volume will be of use both to graduate students seeking to enter the field of low-dimensional topology and to senior researchers wishing to keep up with current developments. The volume begins with notes based on a special lecture by John Milnor about the history of the topology of manifolds. It also contains notes from lectures by Cameron Gordon on the basics of three-manifold topology and surgery problems, Mikhail Khovanov on his homological invariants for knots, John Etnyre on contact geometry, Ron Fintushel and Ron Stern on constructions of exotic four-manifolds, David Gabai on the hyperbolic geometry and the ending lamination theorem, Zoltan Szabo on Heegaard Floer homology for knots and three manifolds, and John Morgan on Hamilton's and Perelman's work on Ricci flow and geometrization.

Author: Francis Bonahon
Publisher: American Mathematical Soc.
ISBN: 082184816X
Category : Mathematics
Languages : en
Pages : 403

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Book Description
The study of 3-dimensional spaces brings together elements from several areas of mathematics. The most notable are topology and geometry, but elements of number theory and analysis also make appearances. In the past 30 years, there have been striking developments in the mathematics of 3-dimensional manifolds. This book aims to introduce undergraduate students to some of these important developments. Low-Dimensional Geometry starts at a relatively elementary level, and its early chapters can be used as a brief introduction to hyperbolic geometry. However, the ultimate goal is to describe the very recently completed geometrization program for 3-dimensional manifolds. The journey to reach this goal emphasizes examples and concrete constructions as an introduction to more general statements. This includes the tessellations associated to the process of gluing together the sides of a polygon. Bending some of these tessellations provides a natural introduction to 3-dimensional hyperbolic geometry and to the theory of kleinian groups, and it eventually leads to a discussion of the geometrization theorems for knot complements and 3-dimensional manifolds. This book is illustrated with many pictures, as the author intended to share his own enthusiasm for the beauty of some of the mathematical objects involved. However, it also emphasizes mathematical rigor and, with the exception of the most recent research breakthroughs, its constructions and statements are carefully justified.

Author: Klaus Johannson
Publisher: International Press of Boston
ISBN:
Category : Mathematics
Languages : en
Pages : 272

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Book Description
A collection of papers taken from a conference on low-dimensional topology, held at the University of Tennessee in 1992. Special emphasis is given to hyperbolic and combinatorial structures, minimal surface theory, negatively curbed groups, and group actions on R-trees.