Topics In Low Dimensional Topology: In Honor Of Steve Armentrout - Proceedings Of The Conference On Low-dimensional Topology PDF Download
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Author: Augustin Banyaga Publisher: World Scientific ISBN: 9814543438 Category : Languages : en Pages : 136
Book Description
Recent success with the four-dimensional Poincaré conjecture has revived interest in low-dimensional topology, especially the three-dimensional Poincaré conjecture and other aspects of the problems of classifying three-dimensional manifolds. These problems have a driving force, and have generated a great body of research, as well as insight.The main topics treated in this book include a paper by V Poenaru on the Poincaré conjecture and its ramifications, giving an insight into the herculean work of the author on the subject. Steve Armentrout's paper on “Bing's dogbone space” belongs to the topics in three-dimensional topology motivated by the Poincaré conjecture. S Singh gives a nice synthesis of Armentrout's work. Also included in the volume are shorter original papers, dealing with somewhat different aspects of geometry, and dedicated to Armentrout by his colleagues — Augustin Banyaga (and Jean-Pierre Ezin), David Hurtubise, Hossein Movahedi-Lankarani and Robert Wells.
Author: Augustin Banyaga Publisher: World Scientific ISBN: 9814543438 Category : Languages : en Pages : 136
Book Description
Recent success with the four-dimensional Poincaré conjecture has revived interest in low-dimensional topology, especially the three-dimensional Poincaré conjecture and other aspects of the problems of classifying three-dimensional manifolds. These problems have a driving force, and have generated a great body of research, as well as insight.The main topics treated in this book include a paper by V Poenaru on the Poincaré conjecture and its ramifications, giving an insight into the herculean work of the author on the subject. Steve Armentrout's paper on “Bing's dogbone space” belongs to the topics in three-dimensional topology motivated by the Poincaré conjecture. S Singh gives a nice synthesis of Armentrout's work. Also included in the volume are shorter original papers, dealing with somewhat different aspects of geometry, and dedicated to Armentrout by his colleagues — Augustin Banyaga (and Jean-Pierre Ezin), David Hurtubise, Hossein Movahedi-Lankarani and Robert Wells.
Author: Augustin Banyaga Publisher: World Scientific Publishing Company Incorporated ISBN: 9789810240509 Category : Mathematics Languages : en Pages : 124
Book Description
Recent success with the four-dimensional Poincare conjecture has revived interest in low-dimensional topology, especially the three-dimensional Poincare conjecture and other aspects of the problems of classifying three-dimensional manifolds. These problems have a driving force, and have generated a great body of research, as well as insight. The main topics treated in this book include a paper by V Poenaru on the Poincare conjecture and its ramifications, giving an insight into the herculean work of the author on the subject. Steve Armentrout's paper on "Bing's dogbone space" belongs to the topics in three-dimensional topology motivated by the Poincare conjecture. S Singh gives a nice synthesis of Armentrout's work. Also included in the volume are shorter original papers, dealing with somewhat different aspects of geometry, and dedicated to Armentrout by his colleagues -- Augustin Banyaga (and Jean-Pierre Ezin), David Hurtubise, Hossein Movahedi-Lankarani and Robert Wells.
Author: Mikhail Lyubich Publisher: American Mathematical Soc. ISBN: 0821836668 Category : Mathematics Languages : en Pages : 443
Book Description
The Stony Brook Conference, "Graphs and Patterns in Mathematics and Theoretical Physics", was dedicated to Dennis Sullivan in honor of his sixtieth birthday. The event's scientific content, which was suggested by Sullivan, was largely based on mini-courses and survey lectures. The main idea was to help researchers and graduate students in mathematics and theoretical physics who encounter graphs in their research to overcome conceptual barriers. The collection begins with Sullivan's paper, "Sigma models and string topology," which describes a background algebraic structure for the sigma model based on algebraic topology and transversality. Other contributions to the volume were organized into five sections: Feynman Diagrams, Algebraic Structures, Manifolds: Invariants and Mirror Symmetry, Combinatorial Aspects of Dynamics, and Physics. These sections, along with more research-oriented articles, contain the following surveys: "Feynman diagrams for pedestrians and mathematicians" by M. Polyak, "Notes on universal algebra" by A. Voronov, "Unimodal maps and hierarchical models" by M. Yampolsky, and "Quantum geometry in action: big bang and black holes" by A. Ashtekar. This comprehensive volume is suitable for graduate students and research mathematicians interested in graph theory and its applications in mathematics and physics.
Author: Vassily Olegovich Manturov Publisher: World Scientific ISBN: 9814630632 Category : Mathematics Languages : en Pages : 541
Book Description
This book consists of a selection of articles devoted to new ideas and developments in low dimensional topology. Low dimensions refer to dimensions three and four for the topology of manifolds and their submanifolds. Thus we have papers related to both manifolds and to knotted submanifolds of dimension one in three (classical knot theory) and two in four (surfaces in four dimensional spaces). Some of the work involves virtual knot theory where the knots are abstractions of classical knots but can be represented by knots embedded in surfaces. This leads both to new interactions with classical topology and to new interactions with essential combinatorics.
Author: R. Brown Publisher: Cambridge University Press ISBN: 0521281466 Category : Mathematics Languages : en Pages : 261
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: Klaus Johannson Publisher: International Press of Boston ISBN: Category : Mathematics Languages : en Pages : 272
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: Hanna Nencka Publisher: American Mathematical Soc. ISBN: 0821808842 Category : Mathematics Languages : en Pages : 266
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: American Mathematical Society Publisher: American Mathematical Soc. ISBN: 0821850164 Category : Mathematics Languages : en Pages : 358
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.
Author: Augustin Banyaga
Author: Augustin Banyaga
Author: Augustin Banyaga
Author: Augustin Banyaga
Author: Augustin Banyaga
Author: Mikhail Lyubich
Author: Vassily Olegovich Manturov
Author: R. Brown
Author: Klaus Johannson
Author: Hanna Nencka
Author: American Mathematical Society