Knot Groups Annals Of Mathematics Studies Am 56 Volume 56 PDF Download
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Author | : Lee Paul Neuwirth |
Publisher | : Princeton University Press |
Total Pages | : 119 |
Release | : 2016-03-02 |
Genre | : Mathematics |
ISBN | : 1400882036 |
Download Knot Groups. Annals of Mathematics Studies. (AM-56), Volume 56 Book in PDF, ePub and Kindle
The description for this book, Knot Groups. Annals of Mathematics Studies. (AM-56), Volume 56, will be forthcoming.
Author | : Lee Paul Neuwirth |
Publisher | : Princeton University Press |
Total Pages | : 124 |
Release | : 1965-03-21 |
Genre | : Mathematics |
ISBN | : 9780691079912 |
Download Knot Groups Book in PDF, ePub and Kindle
The description for this book, Knot Groups. Annals of Mathematics Studies. (AM-56), Volume 56, will be forthcoming.
Author | : Chen Ning Yang |
Publisher | : World Scientific |
Total Pages | : 496 |
Release | : 1994 |
Genre | : Science |
ISBN | : 9789810215248 |
Download Braid Group, Knot Theory, and Statistical Mechanics II Book in PDF, ePub and Kindle
The present volume is an updated version of the book edited by C N Yang and M L Ge on the topics of braid groups and knot theory, which are related to statistical mechanics. This book is based on the 1989 volume but has new material included and new contributors.
Author | : Mo-lin Ge |
Publisher | : World Scientific |
Total Pages | : 341 |
Release | : 1991-06-05 |
Genre | : Science |
ISBN | : 9814507423 |
Download Braid Group, Knot Theory And Statistical Mechanics Book in PDF, ePub and Kindle
Contents:Notes on Subfactors and Statistical Mechanics (V F R Jones)Polynomial Invariants in Knot Theory (L H Kauffman)Algebras of Loops on Surfaces, Algebras of Knots, and Quantization (V G Turaev)Quantum Groups (L Faddeev et al.)Introduction to the Yang-Baxter Equation (M Jimbo)Integrable Systems Related to Braid Groups and Yang-Baxter Equation (T Kohno)The Yang-Baxter Relation: A New Tool for Knot Theory (Y Akutsu et al.)Akutsu-Wadati Link Polynomials from Feynman-Kauffman Diagrams (M-L Ge et al.)Quantum Field Theory and the Jones Polynomial (E Witten) Readership: Mathematical physicists.
Author | : Jerome Minkus |
Publisher | : American Mathematical Soc. |
Total Pages | : 75 |
Release | : 1982 |
Genre | : Knot theory |
ISBN | : 0821822551 |
Download The Branched Cyclic Coverings of 2 Bridge Knots and Links Book in PDF, ePub and Kindle
In this paper a family of closed oriented 3 dimensional manifolds {[italic]M[subscript italic]n([italic]k,[italic]h)} is constructed by pasting together pairs of regions on the boundary of a 3 ball. The manifold [italic]M[subscript italic]n([italic]k,[italic]h) is a generalization of the lens space [italic]L([italic]n,1) and is closely related to the 2 bridge knot or link of type ([italic]k,[italic]h). While the work is basically geometrical, examination of [lowercase Greek]Pi1([italic]M[subscript italic]n([italic]k,[italic]h)) leads naturally to the study of "cyclic" presentations of groups. Abelianizing these presentations gives rise to a formula for the Alexander polynomials of 2 bridge knots and to a description of [italic]H1([italic]M[subscript italic]n([italic]k,[italic]h), [italic]Z) by means of circulant matrices whose entries are the coefficients of these polynomials.
Author | : Ken’ichi Ohshika |
Publisher | : Springer Nature |
Total Pages | : 724 |
Release | : 2020-12-07 |
Genre | : Mathematics |
ISBN | : 3030559289 |
Download In the Tradition of Thurston Book in PDF, ePub and Kindle
This book consists of 16 surveys on Thurston's work and its later development. The authors are mathematicians who were strongly influenced by Thurston's publications and ideas. The subjects discussed include, among others, knot theory, the topology of 3-manifolds, circle packings, complex projective structures, hyperbolic geometry, Kleinian groups, foliations, mapping class groups, Teichmüller theory, anti-de Sitter geometry, and co-Minkowski geometry. The book is addressed to researchers and students who want to learn about Thurston’s wide-ranging mathematical ideas and their impact. At the same time, it is a tribute to Thurston, one of the greatest geometers of all time, whose work extended over many fields in mathematics and who had a unique way of perceiving forms and patterns, and of communicating and writing mathematics.
Author | : Ken’ichi Ohshika |
Publisher | : Springer Nature |
Total Pages | : 525 |
Release | : 2022-08-02 |
Genre | : Mathematics |
ISBN | : 3030975606 |
Download In the Tradition of Thurston II Book in PDF, ePub and Kindle
The purpose of this volume and of the other volumes in the same series is to provide a collection of surveys that allows the reader to learn the important aspects of William Thurston’s heritage. Thurston’s ideas have altered the course of twentieth century mathematics, and they continue to have a significant influence on succeeding generations of mathematicians. The topics covered in the present volume include com-plex hyperbolic Kleinian groups, Möbius structures, hyperbolic ends, cone 3-manifolds, Thurston’s norm, surgeries in representation varieties, triangulations, spaces of polygo-nal decompositions and of singular flat structures on surfaces, combination theorems in the theories of Kleinian groups, hyperbolic groups and holomorphic dynamics, the dynamics and iteration of rational maps, automatic groups, and the combinatorics of right-angled Artin groups.
Author | : Hitoshi Murakami |
Publisher | : Springer |
Total Pages | : 120 |
Release | : 2018-08-15 |
Genre | : Science |
ISBN | : 9811311501 |
Download Volume Conjecture for Knots Book in PDF, ePub and Kindle
The volume conjecture states that a certain limit of the colored Jones polynomial of a knot in the three-dimensional sphere would give the volume of the knot complement. Here the colored Jones polynomial is a generalization of the celebrated Jones polynomial and is defined by using a so-called R-matrix that is associated with the N-dimensional representation of the Lie algebra sl(2;C). The volume conjecture was first stated by R. Kashaev in terms of his own invariant defined by using the quantum dilogarithm. Later H. Murakami and J. Murakami proved that Kashaev’s invariant is nothing but the N-dimensional colored Jones polynomial evaluated at the Nth root of unity. Then the volume conjecture turns out to be a conjecture that relates an algebraic object, the colored Jones polynomial, with a geometric object, the volume. In this book we start with the definition of the colored Jones polynomial by using braid presentations of knots. Then we state the volume conjecture and give a very elementary proof of the conjecture for the figure-eight knot following T. Ekholm. We then give a rough idea of the “proof”, that is, we show why we think the conjecture is true at least in the case of hyperbolic knots by showing how the summation formula for the colored Jones polynomial “looks like” the hyperbolicity equations of the knot complement. We also describe a generalization of the volume conjecture that corresponds to a deformation of the complete hyperbolic structure of a knot complement. This generalization would relate the colored Jones polynomial of a knot to the volume and the Chern–Simons invariant of a certain representation of the fundamental group of the knot complement to the Lie group SL(2;C). We finish by mentioning further generalizations of the volume conjecture.
Author | : Robion C. Kirby |
Publisher | : Princeton University Press |
Total Pages | : 368 |
Release | : 2016-03-02 |
Genre | : Mathematics |
ISBN | : 1400881501 |
Download Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88), Volume 88 Book in PDF, ePub and Kindle
Since Poincaré's time, topologists have been most concerned with three species of manifold. The most primitive of these--the TOP manifolds--remained rather mysterious until 1968, when Kirby discovered his now famous torus unfurling device. A period of rapid progress with TOP manifolds ensued, including, in 1969, Siebenmann's refutation of the Hauptvermutung and the Triangulation Conjecture. Here is the first connected account of Kirby's and Siebenmann's basic research in this area. The five sections of this book are introduced by three articles by the authors that initially appeared between 1968 and 1970. Appendices provide a full discussion of the classification of homotopy tori, including Casson's unpublished work and a consideration of periodicity in topological surgery.
Author | : William Menasco |
Publisher | : Elsevier |
Total Pages | : 502 |
Release | : 2005-08-02 |
Genre | : Mathematics |
ISBN | : 9780080459547 |
Download Handbook of Knot Theory Book in PDF, ePub and Kindle
This book is a survey of current topics in the mathematical theory of knots. For a mathematician, a knot is a closed loop in 3-dimensional space: imagine knotting an extension cord and then closing it up by inserting its plug into its outlet. Knot theory is of central importance in pure and applied mathematics, as it stands at a crossroads of topology, combinatorics, algebra, mathematical physics and biochemistry. * Survey of mathematical knot theory * Articles by leading world authorities * Clear exposition, not over-technical * Accessible to readers with undergraduate background in mathematics