Topics In Low Dimensional Topology
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New Ideas In Low Dimensional Topology
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Author : Vassily Olegovich Manturov
language : en
Publisher: World Scientific
Release Date : 2015-01-27
New Ideas In Low Dimensional Topology written by Vassily Olegovich Manturov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-27 with Mathematics categories.
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.
Topics In Low Dimensional Topology
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Author : A Banyaga
language : en
Publisher: World Scientific
Release Date : 1999-10-15
Topics In Low Dimensional Topology written by A Banyaga and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-10-15 with categories.
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. Contents: Mathematics of Steve Armentrout: A Review (S Singh)Bing's Dogbone Space Is Not Strongly Locally Simply Connected (S Armentrout)A Program for the Poincaré Conjecture and Some of Its Ramifications (V Poénaru)On the Foundation of Geometry, Analysis, and the Differentiable Structure for Manifolds (D Sullivan)A Conformal Invariant Characterizing the Sphere (A Banyaga & J-P Ezin)Spaces of Holomorphic Maps from ∀P1 to Complex Grassmann Manifolds (D E Hurtubise)Sets with Lie Isometry Groups (H Movahedi-Lankarani & R Wells) Readership: Researchers in mathematics and physics. Keywords:Poincare Conjecture;Topology;Holomorphic Maps;Complex Grassmann Manifolds;Lie Isometry Groups
Topics In Low Dimensional Topology
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Author : Augustin Banyaga
language : en
Publisher: World Scientific Publishing Company Incorporated
Release Date : 1999
Topics In Low Dimensional Topology written by Augustin Banyaga and has been published by World Scientific Publishing Company Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
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.
Topics In Low Dimensional Topology
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Author : Augustin Banyaga
language : en
Publisher:
Release Date : 1999
Topics In Low Dimensional Topology written by Augustin Banyaga and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.
Intelligence Of Low Dimensional Topology 2006
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Author : J. Scott Carter
language : en
Publisher: World Scientific
Release Date : 2007
Intelligence Of Low Dimensional Topology 2006 written by J. Scott Carter and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
This volume gathers the contributions from the international conference Intelligence of Low Dimensional Topology 2006, which took place in Hiroshima in 2006. The aim of this volume is to promote research in low dimensional topology with the focus on knot theory and related topics. The papers include comprehensive reviews and some latest results.
Knots Low Dimensional Topology And Applications
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Author : Colin C. Adams
language : en
Publisher: Springer
Release Date : 2019-06-26
Knots Low Dimensional Topology And Applications written by Colin C. Adams and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-26 with Mathematics categories.
This proceedings volume presents a diverse collection of high-quality, state-of-the-art research and survey articles written by top experts in low-dimensional topology and its applications. The focal topics include the wide range of historical and contemporary invariants of knots and links and related topics such as three- and four-dimensional manifolds, braids, virtual knot theory, quantum invariants, braids, skein modules and knot algebras, link homology, quandles and their homology; hyperbolic knots and geometric structures of three-dimensional manifolds; the mechanism of topological surgery in physical processes, knots in Nature in the sense of physical knots with applications to polymers, DNA enzyme mechanisms, and protein structure and function. The contents is based on contributions presented at the International Conference on Knots, Low-Dimensional Topology and Applications – Knots in Hellas 2016, which was held at the International Olympic Academy in Greece in July 2016. The goal of the international conference was to promote the exchange of methods and ideas across disciplines and generations, from graduate students to senior researchers, and to explore fundamental research problems in the broad fields of knot theory and low-dimensional topology. This book will benefit all researchers who wish to take their research in new directions, to learn about new tools and methods, and to discover relevant and recent literature for future study.
Low Dimensional Topology And Quantum Field Theory
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Author : Hugh Osborn
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Low Dimensional Topology And Quantum Field Theory written by Hugh Osborn 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 2013-11-11 with Science categories.
The motivations, goals and general culture of theoretical physics and mathematics are different. Most practitioners of either discipline have no necessity for most of the time to keep abreast of the latest developments in the other. However on occasion newly developed mathematical concepts become relevant in theoretical physics and the less rigorous theoretical physics framework may prove valuable in understanding and suggesting new theorems and approaches in pure mathematics. Such interdis ciplinary successes invariably cause much rejoicing, as over a prodigal son returned. In recent years the framework provided by quantum field theory and functional in tegrals, developed over half a century in theoretical physics, have proved a fertile soil for developments in low dimensional topology and especially knot theory. Given this background it was particularly pleasing that NATO was able to generously sup port an Advanced Research Workshop to be held in Cambridge, England from 6th to 12th September 1992 with the title Low Dimensional Topology and Quantum Field Theory. Although independently organised this overlapped as far as some speak ers were concerned with a longer term programme with the same title organised by Professor M Green, Professor E Corrigan and Dr R Lickorish. The contents of this proceedings of the workshop demonstrate the breadth of topics now of interest on the interface between theoretical physics and mathematics as well as the sophistication of the mathematical tools required in current theoretical physics.
Singularities And Their Interaction With Geometry And Low Dimensional Topology
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Author : Javier Fernández de Bobadilla
language : en
Publisher: Springer Nature
Release Date : 2021-05-27
Singularities And Their Interaction With Geometry And Low Dimensional Topology written by Javier Fernández de Bobadilla and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-27 with Mathematics categories.
The book is a collection of surveys and original research articles concentrating on new perspectives and research directions at the crossroads of algebraic geometry, topology, and singularity theory. The papers, written by leading researchers working on various topics of the above fields, are the outcome of the “Némethi60: Geometry and Topology of Singularities” conference held at the Alfréd Rényi Institute of Mathematics in Budapest, from May 27 to 31, 2019. Both the conference and this resulting volume are in honor of Professor András Némethi, on the occasion of his 60th birthday, whose work plays a decisive and influential role in the interactions between the above fields. The book should serve as a valuable resource for graduate students and researchers to deepen the new perspectives, methods, and connections between geometry and topology regarding singularities.
Aspects Of Low Dimensional Manifolds
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Author : Yukio Matsumoto
language : en
Publisher:
Release Date : 1992
Aspects Of Low Dimensional Manifolds written by Yukio Matsumoto and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.
This volume contains ten original papers written by leading experts in various areas of low-dimensional topology. The topics covered here are among those showing the most rapid progress in topology today: knots and links, three-dimensional hyperbolic geometry, conformally flat structures on three-manifolds, Floer homology, and the geometry and topology of four-manifolds. Offering both original results and up-to-date survey papers, Aspects of Low Dimensional Manifolds will interest mathematicians, physicists, graduate students, and others seeking a good introduction to the field.
Low Dimensional Topology
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Author : Roger Fenn
language : en
Publisher:
Release Date : 1985
Low Dimensional Topology written by Roger Fenn and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.