Low-Dimensional Topology Lectures at the Morningside Center of Mathematics (New Studies in Advanced Mathematics) by Benghe Li

Cover of: Low-Dimensional Topology | Benghe Li

Published by International Press .

Written in English

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Subjects:

  • Topology,
  • General,
  • Mathematics,
  • Science/Mathematics

Book details

The Physical Object
FormatPaperback
Number of Pages80
ID Numbers
Open LibraryOL12201651M
ISBN 101571461124
ISBN 109781571461124

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In mathematics, low-dimensional topology is the branch of topology that studies manifolds, or more generally topological spaces, of four or fewer dimensions. Representative topics are the structure theory of 3-manifolds and 4-manifolds, knot theory, and braid groups. This can be regarded as a part of geometric topology.

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.

After reading few lecture notes on knot theory, I have developed a genuine interest in Low dimensional Topology. So, I am trying to know about how should I self study it.

I would like to know about the subjects I should cover in order to start research in some area of low dimensional topology. Freedman and Quinn's book is also good. Hempel. This volume consists of the proceedings of a conference held at the University College of North Wales (Bangor) in July of 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 fredjaillet.com: R. Brown. I am interested in all areas of low-dimensional Topology. More specifically, I am interested in trisections of smooth 4-manifolds (with and without boundary), generic maps and Lefschetz fibrations on 4-manifolds, symplectic and contact topology, open book decompositions of 3-manifolds, and anything to do with Heegaard splittings of 3-manifolds.

Low Dimensional Topology Hardcover – September 1, by Karoly Boroczky (Editor) See all formats and editions Hide other formats and editions. Price New from Used from Hardcover, September 1, "Please retry" — $ Format: Hardcover.

A Concise Course in Algebraic Topology. University of Chicago Press, [$18] — Good for getting the big picture. Perhaps not as easy for a beginner as the preceding book. • G E Bredon.

Topology and Geometry. Springer GTM[$70] — Includes basics on smooth manifolds, and even some point-set topology. High-dimensional geometric topology. In high-dimensional topology, characteristic classes are a basic invariant, and surgery theory is a key theory.

A characteristic class is a way of associating to each principal bundle on a topological space X a cohomology class of X. 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 Read "New Ideas in Low Dimensional Topology" by Louis H Kauffman available from Rakuten Kobo.

Sign up today and get $5 off your first purchase. This book consists of a selection of articles devoted to new ideas and developments in low dimensional topology. Low dim Brand: World Scientific Publishing Company. ISBN: OCLC Number: Notes: Proceedings of five lecture series held during the Summer School on Low Dimensional Topology, Augustin Budapest, Hungary, and at the EMS Summer Schools No.

1, Algebraic Geometry, in Eger, Hungary in Everything about Low dimensional topology. Today's topic is Low dimensional topology. I'm not trying to write a book about mathematics for mathematicians, I'm trying to write a book about physics for mathematicians; of course, symplectic structures will eventually make an appearance.

(source: Nielsen Book Data) Low-dimensional topology > Congresses. Kleinian groups > Congresses. Bibliographic information.

Publication date Note Selected papers from two symposia held at the Universities of Warwick and Durham and sponsored by the Science and Engineering Research Council of the United Kingdom and the London. Apr 28,  · 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 goal of the 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.

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. Topology of Low-Dimensional Manifolds Proceedings of the Second Sussex Conference, Editors: Fenn, R. (Ed.) Free Preview.

Oct 31,  · The American Mathematical Society recently published Braid Foliations in Low-Dimensional Topology, co-authored by UB Mathematics Professor William W. Menasco, and Western Illinois University Professor Douglas J.

fredjaillet.com book is a self-contained introduction to braid foliation techniques, which is a theory developed to study knots, links and surfaces in general 3.

Jun 21,  · 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 fredjaillet.com: Hugh Osborn.

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.

Jul 04,  · By the way, Thurston didn’t pass up his Fields Medal either. Low dimensional topology is possibly the most highly represented Fields field — see e.g.

Milnor’s review of the s mentioned above: it all began with Serre’s work, resulting in a Fields. Nov 15,  · Operator Algebras, Mathematical Physics, and Low Dimensional Topology book. Operator Algebras, Mathematical Physics, and Low Dimensional Topology.

DOI link for Operator Algebras, Mathematical Physics, and Low Dimensional fredjaillet.com by: 5. Oct 20,  · The present book is thorough and well-structured, leads the reader pretty deeply into the indicated parts of knot and link-theory and low-dimensional topology and does so effectively and (as far as I can tell) rather painlessly All in all, the book looks like a hit Michael Berg, MAA Reviews.

Oct 01,  · 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.

Download Low Dimensional Topology And Kleinian Groups London Mathematical Society Lecture Note Series in PDF and EPUB Formats for free. Low Dimensional Topology And Kleinian Groups London Mathematical Society Lecture Note Series Book also available for Read Online, mobi, docx and mobile and kindle reading.

Abstract: Structures in low-dimensional topology and low-dimensional geometry -- often combined with ideas from (quantum) field theory -- can explain and inspire concepts in algebra and in representation theory and their categorified versions.

We present a personal view on some of these instances which have appeared within the Research Priority Programme SPP ``Representation theory''.Author: Jürgen Fuchs, Christoph Schweigert.

This book consists of a selection of articles devoted to new ideas and develpments 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. Georgia International Topology Conference ( University of Georgia) Low-dimensional and symplectic topology: Georgia International Topology Conference, May 18–29,University of Georgia, Athens, Georgia / Michael Usher, editor.

— (Proceedings of symposia in pure mathematics ; v. 82) Includes bibliographical references. Freedman, M.H. and Luo, Feng.

Selected Applications of Geometry to Low-Dimensional Topology Providence, RI: American Mathematical Society, Miscelllaneous. J Matousek. Using the Borsuk-Ulam Theorem. Springer, $50 A.H A whole book on this classic theorem and its many varied applications in geometry and combinatorics.

Introduction In April, when my rst problem list [38,Kirby,] was nished, a good topologist could reasonably hope to understand the main topics in all of low dimensional topology. Any comments/suggestions. Send them to me. Enter your comments here: Most recent additions: hard to say, I've stopped keeping track This page was getting just a little too large, so I've cut it into pieces.

Reference for low-dimensional topology. Ask Question Asked 3 years, 9 months ago. Active 3 years, 9 months ago. Viewed times 5 $\begingroup$ I have read topology and algebraic topology by Munkres and I want to start low-dimensional topology.

Munkres is really an undergraduate book and doesn't contain enough. Rolfsen's book is probably a. May 17,  · At the core of low-dimensional topology has been the classification of knots and links in the 3-sphere and the classification of 3- and 4-dimensional manifolds (see Wikipedia for the definitions of basic topological terms).

Beginning with the introduction of hyperbolic geometry into knots and 3-manifolds by W. Thurston in the late s, geometric tools have become vital to the subject. Next Author: Robion C. Kirby. Geometric topology is more motivated by objects it wants to prove theorems about.

Geometric topology is very much motivated by low-dimensional phenomena -- and the very notion of low-dimensional phenomena being special is due to the existence of a big tool called the Whitney Trick, which allows one to readily convert certain problems in manifold theory into (sometimes quite complicated.

Browse Book Reviews. Displaying 1 - 10 of Filter by topic The Little Book of Bigger Primes. Paulo Ribenboim. February 23, Algorithms, Number Theory, Prime Numbers. BLL* Approximation Theory and Approximation Practice, Extended Edition.

Lloyd N. Trefethen. February 16, Jan 18,  · Question about low dimensional topology. Is there a subfield of 3-manifold theory that doesn’t go too deep into algebra. Some basic algebraic topology and other algebraic stuff is fine, but I don’t want it to get to the point where it’s bascially almost all algebra, like some parts of 4-manifold theory.

The “book” is now complete. Low-Dimensional Topology - edited by R. Brown May Introduction. Given a Seifert surface for a classical knot, there is associated a linking form from which the first homology of the infinite cyclic cover may be fredjaillet.com by: The book has two main parts.

The first is devoted to the Poincaré 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. May 01,  · This volume gathers the contributions from the international conference “Intelligence of Low Dimensional Topology ,” which took place in Hiroshima in The aim of this volume is to promote research in low dimensional topology with the focus on knot theory and related topics.

Low-dimensional topology links: home pages: Aaron Abrams, At Emory U. Colin Adams, at Williams College. Ian Agol, at UC Berkeley. Old page. Selman Akbulut, at Michigan State. Jim Anderson, at U.

of Southampton. Jorgen Andersen, at U. of Aarhus Dave Auckly, at Kansas State. Low-Dimensional Topology and Tensor Categories. Front Matter. Pages PDF. Knots, Links, Tangles, and Braids. Christian Kassel. Pages Tensor Categories. Christian Kassel.

About this book. Keywords. Group representation Lie algebra Vector space algebra cohomology topology. .Recent results in these topics are published here. A special attempt was made to make this conference accessible and worthwhile for young researchers in the field.

This volume is the most complete and current compilation of research in the field of Low-Dimensional Topology.mology, gauge theory, and low–dimensional topology at the Alfr´ed R´enyi Institute of Mathematics in Budapest, Hungary. The aim of this school was to bring together students and researchers in the rapidly developing crossroads of gauge theory and low–dimensional topology.

In part, the hope was to foster dialogue across closely.

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