Low dimensional topology



Publisher: Cambridge University Press in Cambridge [Cambridgeshire], New York

Written in English
Cover of: Low dimensional topology |
Published: Pages: 258 Downloads: 394
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Subjects:

  • Low-dimensional topology -- Congresses.

Edition Notes

Statementedited by Roger Fenn.
SeriesLondon Mathematical Society lecture note series ;, 95
ContributionsFenn, Roger, 1942-, University of Sussex.
Classifications
LC ClassificationsQA612.14 .L69 1985
The Physical Object
Pagination258 p. :
Number of Pages258
ID Numbers
Open LibraryOL2552498M
ISBN 100521269822
LC Control Number85047811

Low-Dimensional Topology and Number Theory. 23 Aug - 29 Aug ID: Organizers Paul E. Gunnells, Amherst Thang Le, Atlanta Adam S. Sikora, New York Don B. Zagier, Bonn/Trieste. Organizer Login Participant Login. Lookup workshop in oberwolfach photo collection. Navigation. What is a good reference for starting low-dimensional topology? Stack Exchange Network Stack Exchange network consists of Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Thank you for your interest in our Low Dimensional Topology Workshop. I hope you will consider attending other workshops here in the near future. In recent years, there has been lots of exciting progress in many branches of low-dimensional topology, including Heegard Floer and Khovanov Homology, small 4-Manifolds, TQFT, knot concordance and. Low dimensional topology and number theory XII March 23 - 26, AiRIMaQ Seminar Room, Innovation Plaza, Momochihama, Fukuoka, JAPAN Program To be announced Titles and Abstracts Jesus A. Alvarez L opez (University of Santiago de Compostela) joint with Yuri Kordyukov and Eric Leichtnam Deninger’s problem about a trace formula for foliations.

Selected Applications of Geometry to Low-Dimensional Topology About this Title. Michael H. Freedman, University of California, San Diego, La Jolla, CA and Feng Luo, Rutgers University, New Brunswick, New Brunswick, NJ. Publication: University Lecture Series Publication Year Volume 1 ISBNs: (print); (online)Cited by:   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. book is a self-contained introduction to braid foliation techniques, which is a theory developed to study knots, links and surfaces in general 3 . Low-dimensional Topology. Graphs on Surfaces: Dualities, Polynomials, and Knots. Book Review. Morse Theory and Floer Homology. Book Review. Explorations in Topology: Map Coloring, Surfaces and Knots. Low Dimensional Geometry: From Euclidean Surfaces to Hyperbolic Knots. Book Review. The intent is to describe the very strong connection between geometry and low- dimensional topology in a way which will be useful and accessible (with some effort) to graduate students and mathematicians working in related fields, particularly 3-File Size: 4MB.

$\begingroup$ I second the suggestion to focus on low-dimensional topology. Some particularly fun parts of low-dimensional topology for a first course are: classification of surfaces (including Part 1 of Conway et al "Symmetry of Things"); some baby knot theory (Reidemeister moves, quandle invariants like the number of three-colorings of the.   With the approach of an explicit computational point of view on knot invariants, this user-friendly volume will benefit readers to easily understand low-dimensional topology from examples and computations, rather than only knowing terminologies and theorems. Sample Chapter(s) Chapter 1: Basic Knots, Links and their Equivalences ( KB) Contents. There are a number of blogs about low-dimensional topology and geometric group theory. Low Dimensional Topology maintained by Nathan Dunfield, Jesse Johnson, Daniel Moskovich, Henry Wilton and perhaps others. Here there be dragons. The Berstein Seminar Blog maintained by Tim Riley. Sketches of Topology maintained by Kenneth Baker. Beautiful stuff. Download the eBook Floer Homology, Gauge Theory, and Low Dimensional Topology: Proceedings of the Clay Mathematics Institute Summer School, Alfred Renyi Institute of Mathematics, Budapest, Hungary, June , (Clay Mathematics Proceedings, Vol. 5) in PDF or EPUB format and read it directly on your mobile phone, computer or any device.

Low dimensional topology Download PDF EPUB FB2

Low Dimensional Topology Hardcover – September 1, by Karoly Boroczky (Editor) See all formats and editions Hide other formats and editionsFormat: Hardcover. 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 by:   A co-publication of the AMS and IAS/Park City Mathematics Institute Low-dimensional topology has long been a fertile area for the interaction of many different disciplines of mathematics, including differential geometry, hyperbolic geometry, combinatorics.

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.

This volume arose 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, Low-dimensional topology -- Congresses.

Low-dimensional topology. Niederdimensionale Topologie. Topologie. Topologie de basse dimension -- Congrès. Kongress. Aufsatzsammlung. Low dimensional topological spaces. Low-Dimensional Topology.

Surfaces. Someone should someday write a comprehensive exposition of topological surface theory. A small fraction of the theory can be found in • A J Casson and S A Bleiler.

Automorphisms of Surfaces after Nielsen and Thurston. LMS Student Texts 9. Cambridge University Press, [$15] One can also look at an original paper:File Size: 65KB.

6 Fragments of geometric topology from the sixties Sandro Buoncristiano and Colin Rourke: 7 Proceedings of the Casson Fest (Arkansas and Texas ) Editors: Cameron Gordon and Yoav Rieck: 8 The interaction of finite-type and Gromov–Witten invariants (BIRS.

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. Geometric Topology contains the proceedings of the Georgia Topology Conference, held at the University of Georgia on August The book is comprised of contributions from leading experts in the field of geometric contributions are grouped into four sections: low dimensional manifolds, topology of manifolds, shape theory.

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

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 : Hugh Osborn.

ISBN: OCLC Number: Notes: "Proceedings of the special session on low dimensional topology, 87th annual meeting of the American Mathematical Society, held in San Francisco, California, January"--Title page verso. 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. 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 Medal, etc.

Well, the book is clearly full of good stuff. 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 Author: Jürgen Fuchs, Christoph Schweigert.

Overview. 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 dimension one in three (classical knot theory) Author: Louis H Kauffman. As pointed out in an earlier comment, low dimensional topology is really really vast and you can spend more than a lifetime reading literature in either dimension 3 or 4.

So, try to get some idea from Manolescu's site who is a renowned topologist and focus on a particular topic. Ryan and Jim gave some good suggestions of starting points in their answers, such as Rolfsen's 'Knots and links'. There are also other flavors of low-dimensional topology.

There exist some books and courses mentioning 'geometric topology' in the title, but they are often specialized and/or advanced. 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. Low Dimensional Topology | Karoly Boroczky | download | B–OK.

Download books for free. Find books. Low-dimensional topology—Congresses. Symplectic geometry—Congresses. Homol-ogy theory—Congresses. Gauge fields (Physics)—Congresses.

Ellwood, D. (David), – II. Title. III. Series. QAC55 —dc22 Copying and reprinting. Material in this book may be reproduced by any means for educa. This volume presents the proceedings from the conference on low dimensional topology held at the University of Madeira (Portugal).

The event was attended by leading scientists in the field from the U.S., Asia, and Europe. The book has two main parts. The. 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 by: 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.

Operator Algebras, Mathematical Physics, and Low Dimensional Topology. DOI link for Operator Algebras, Mathematical Physics, and Low Dimensional Topology.

Operator Algebras, Mathematical Physics, and Low Dimensional Topology bookCited by: 5. In mathematics, geometric topology is the study of manifolds and maps between them, particularly embeddings of one manifold into another.

2 Differences between low-dimensional and high-dimensional topology. 3 Important tools in geometric topology. Fundamental group. Orientability. Handle decompositions. Local flatness. The intent is to describe the very strong connection between geometry and low- dimensional topology in a way which will be useful and accessible (with some effort) to graduate students and mathematicians working in related fields, particularly 3-File Size: 1MB.

Find many great new & used options and get the best deals for Nato Science Series B: Low-Dimensional Topology and Quantum Field Theory (, Hardcover) at the best online prices at eBay! Free shipping for many products!The aim of this workshop is to present the most recent advances in low-dimensional topology, with a special focus on two areas: The first is the study of surfaces in 4-manifolds, including knot concordance, using techniques from gauge theory, Floer homology, and Khovanov homology.The Conference was devoted to a broad spectrum of topics in Low-Dimensional Topology.

However, special emphasis was given to hyperbolic and combinatorial structures, minimal surface theory, negatively curbed groups, group actions on R-trees, and gauge theoretic aspects of 3-manifolds.