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A Survey Of Knot Theory

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Survey On Knot Theory

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Author : Akio Kawauchi
language : en
Publisher: Springer Science & Business Media
Release Date : 1996-09-26

Survey On Knot Theory written by Akio Kawauchi 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 1996-09-26 with Mathematics categories.

Knot theory is a rapidly developing field of research with many applications not only for mathematics. The present volume, written by a well-known specialist, gives a complete survey of knot theory from its very beginnings to today's most recent research results. The topics include Alexander polynomials, Jones type polynomials, and Vassiliev invariants. With its appendix containing many useful tables and an extended list of references with over 3,500 entries it is an indispensable book for everyone concerned with knot theory. The book can serve as an introduction to the field for advanced undergraduate and graduate students. Also researchers working in outside areas such as theoretical physics or molecular biology will benefit from this thorough study which is complemented by many exercises and examples.

A Survey Of Knot Theory

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Author : Akio Kawauchi
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

A Survey Of Knot Theory written by Akio Kawauchi and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

Braid And Knot Theory In Dimension Four

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Author : Seiichi Kamada
language : en
Publisher: American Mathematical Soc.
Release Date : 2002

Braid And Knot Theory In Dimension Four written by Seiichi Kamada and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.

Braid theory and knot theory are related via two famous results due to Alexander and Markov. Alexander's theorem states that any knot or link can be put into braid form. Markov's theorem gives necessary and sufficient conditions to conclude that two braids represent the same knot or link. Thus, one can use braid theory to study knot theory and vice versa. In this book, the author generalizes braid theory to dimension four. He develops the theory of surface braids and applies it tostudy surface links. In particular, the generalized Alexander and Markov theorems in dimension four are given. This book is the first to contain a complete proof of the generalized Markov theorem. Surface links are studied via the motion picture method, and some important techniques of this method arestudied. For surface braids, various methods to describe them are introduced and developed: the motion picture method, the chart description, the braid monodromy, and the braid system. These tools are fundamental to understanding and computing invariants of surface braids and surface links. Included is a table of knotted surfaces with a computation of Alexander polynomials. Braid techniques are extended to represent link homotopy classes. The book is geared toward a wide audience, from graduatestudents to specialists. It would make a suitable text for a graduate course and a valuable resource for researchers.

A Survey Of Knot Theory

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Author : Owen Mertens
language : en
Publisher:
Release Date : 1993

A Survey Of Knot Theory written by Owen Mertens and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Knot theory categories.

Reading Images And Seeing Words

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Author :
language : en
Publisher: BRILL
Release Date : 2021-11-01

Reading Images And Seeing Words written by and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-01 with Social Science categories.

The simultaneously tautological and oxymoronic nature of word / image relations has become a subject of massive debate in the post-modern period. This is not only because of the increasing predominance of word / image messages within our modern media-saturated culture, but also because intellectual disciplines are becoming increasingly sensitized to the essentially hybrid nature of the way we construct meaning in the world. The essays in this volume offer an exemplary insight into both aspects of this phenomenon. Focussing on both traditional and modern media (theatre, fiction, poetry, graphic art, cinema), the essays of Reading Images and Seeing Words are deeply concerned to show how it is according to signifying codes (rhetoric, poetics, metaphor), that meaning and knowledge are produced. Not the least value of this collection is the insight it gives into the multiple models of word / image interaction and the rich ambiguity of the tautological and oxymoronic relations they embody.

A Survey Of Knot Theory And Invariants Of A Twelve Crossing Knot

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Author : Kausha C. Miller
language : en
Publisher:
Release Date : 2000

A Survey Of Knot Theory And Invariants Of A Twelve Crossing Knot written by Kausha C. Miller and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.

Knots And Links

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Author : Peter R. Cromwell
language : en
Publisher: Cambridge University Press
Release Date : 2004-10-14

Knots And Links written by Peter R. Cromwell and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-14 with Mathematics categories.

A richly illustrated 2004 textbook on knot theory; minimal prerequisites but modern in style and content.

Handbook Of Knot Theory

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Author : William Menasco
language : en
Publisher: Elsevier
Release Date : 2005-08-02

Handbook Of Knot Theory written by William Menasco and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-08-02 with Mathematics categories.

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

Topology In Molecular Biology

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Author : Michael I. Monastyrsky
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-10-26

Topology In Molecular Biology written by Michael I. Monastyrsky 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 2006-10-26 with Science categories.

Providing a course of modern topology intended for biologists and physicists, this book presents a class of results in molecular biology for which topological methods and ideas are important. These include: the large-scale conformation properties of DNA; computational methods; the structure of proteins; and other problems in molecular biology.

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.

A Survey Of Knot Theory

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