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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: 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: D. B. A. Epstein
Publisher:
ISBN:
Category : Kleinian groups
Languages : en
Pages : 321
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Book Description
Author: Jens L. Mennicke
Publisher:
ISBN:
Category : Free groups
Languages : en
Pages : 206
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Book Description
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.
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: R. Fenn
Publisher: Springer
ISBN: 3540351868
Category : Mathematics
Languages : en
Pages : 165
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Book Description
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: Vassily Olegovich Manturov
Publisher: World Scientific
ISBN: 9811220131
Category : Mathematics
Languages : en
Pages : 387
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Book Description
This book contains an in-depth overview of the current state of the recently emerged and rapidly growing theory of Gnk groups, picture-valued invariants, and braids for arbitrary manifolds. Equivalence relations arising in low-dimensional topology and combinatorial group theory inevitably lead to the study of invariants, and good invariants should be strong and apparent. An interesting case of such invariants is picture-valued invariants, whose values are not algebraic objects, but geometrical constructions, like graphs or polyhedra.In 2015, V O Manturov defined a two-parametric family of groups Gnk and formulated the following principle: if dynamical systems describing a motion of n particles possess a nice codimension 1 property governed by exactly k particles then these dynamical systems possess topological invariants valued in Gnk.The book is devoted to various realisations and generalisations of this principle in the broad sense. The groups Gnk have many epimorphisms onto free products of cyclic groups; hence, invariants constructed from them are powerful enough and easy to compare. However, this construction does not work when we try to deal with points on a 2-surface, since there may be infinitely many geodesics passing through two points. That leads to the notion of another family of groups — Γnk, which give rise to braids on arbitrary manifolds yielding invariants of arbitrary manifolds.
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: American Mathematical Society
Publisher: American Mathematical Soc.
ISBN: 0821850164
Category : Mathematics
Languages : en
Pages : 358
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Book Description
Derived from a special session on Low Dimensional Topology organized and conducted by Dr Lomonaco at the American Mathematical Society meeting held in San Francisco, California, January 7-11, 1981.
