The Interface Of Knots And Physics PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download The Interface Of Knots And Physics PDF full book. Access full book title The Interface Of Knots And Physics.
Author | : Louis H. Kauffman |
Publisher | : American Mathematical Soc. |
Total Pages | : 221 |
Release | : 1996 |
Genre | : Mathematics |
ISBN | : 0821803808 |
Download The Interface of Knots and Physics Book in PDF, ePub and Kindle
This text is the result of an AMS Short Course on Knots and Physics that was held in San Francisco in January 1994. The authors use ideas and methods of mathematical physics to extract topological information about knots and manifolds. The book features a basic introduction to knot polynomials in relation to statistical link invariants as well as concise introductions to topological quantum field theories and to the role of knot theory in quantum gravity.
Author | : Louis H. Kauffman |
Publisher | : American Mathematical Society(RI) |
Total Pages | : 220 |
Release | : 2014-05-10 |
Genre | : SCIENCE |
ISBN | : 9780821892664 |
Download The Interface of Knots and Physics Book in PDF, ePub and Kindle
This text is the result of an AMS Short Course on Knots and Physics that was held in San Francisco in January 1994. The authors use ideas and methods of mathematical physics to extract topological information about knots and manifolds. The book features a basic introduction to knot polynomials in relation to statistical link invariants as well as concise introductions to topological quantum field theories and to the role of knot theory in quantum gravity.
Author | : Louis H Kauffman |
Publisher | : World Scientific |
Total Pages | : 739 |
Release | : 1994-01-15 |
Genre | : Mathematics |
ISBN | : 9814502375 |
Download Knots And Physics (Second Edition) Book in PDF, ePub and Kindle
In this second edition, the following recent papers have been added: “Gauss Codes, Quantum Groups and Ribbon Hopf Algebras”, “Spin Networks, Topology and Discrete Physics”, “Link Polynomials and a Graphical Calculus” and “Knots Tangles and Electrical Networks”. An appendix with a discussion on invariants of embedded graphs and Vassiliev invariants has also been included.This book is an introduction to knot and link invariants as generalized amplitudes (vacuum-vacuum amplitudes) for a quasi-physical process. The demands of knot theory, coupled with a quantum statistical framework, create a context that naturally and powerfully includes an extraordinary range of interrelated topics in topology and mathematical physics. The author takes a primarily combinatorial stance toward knot theory and its relations with these subjects. This has the advantage of providing very direct access to the algebra and to the combinatorial topology, as well as the physical ideas. This book is divided into 2 parts: Part I of the book is a systematic course in knots and physics starting from the ground up. Part II is a set of lectures on various topics related to and sometimes based on Part I. Part II also explores some side-topics such as frictional properties of knots, relations with combinatorics and knots in dynamical systems.
Author | : Louis H. Kauffman |
Publisher | : World Scientific |
Total Pages | : 865 |
Release | : 2013 |
Genre | : Mathematics |
ISBN | : 9814383007 |
Download Knots and Physics Book in PDF, ePub and Kindle
An introduction to knot and link invariants as generalised amplitudes for a quasi-physical process. The demands of knot theory, coupled with a quantum-statistical framework, create a context that naturally and powerfully includes an extraordinary range of interrelated topics in topology and mathematical physics.
Author | : University of Illinois Staff |
Publisher | : |
Total Pages | : |
Release | : 2000-08 |
Genre | : |
ISBN | : 9780821809549 |
Download Interface of Knots and Physics Book in PDF, ePub and Kindle
Author | : Louis H Kauffman |
Publisher | : World Scientific |
Total Pages | : 788 |
Release | : 2001-07-26 |
Genre | : Mathematics |
ISBN | : 9814494097 |
Download Knots And Physics (Third Edition) Book in PDF, ePub and Kindle
This invaluable book is an introduction to knot and link invariants as generalised amplitudes for a quasi-physical process. The demands of knot theory, coupled with a quantum-statistical framework, create a context that naturally and powerfully includes an extraordinary range of interrelated topics in topology and mathematical physics. The author takes a primarily combinatorial stance toward knot theory and its relations with these subjects. This stance has the advantage of providing direct access to the algebra and to the combinatorial topology, as well as physical ideas.The book is divided into two parts: Part I is a systematic course on knots and physics starting from the ground up, and Part II is a set of lectures on various topics related to Part I. Part II includes topics such as frictional properties of knots, relations with combinatorics, and knots in dynamical systems.In this third edition, a paper by the author entitled “Knot Theory and Functional Integration” has been added. This paper shows how the Kontsevich integral approach to the Vassiliev invariants is directly related to the perturbative expansion of Witten's functional integral. While the book supplies the background, this paper can be read independently as an introduction to quantum field theory and knot invariants and their relation to quantum gravity. As in the second edition, there is a selection of papers by the author at the end of the book. Numerous clarifying remarks have been added to the text.
Author | : Louis H. Kauffman |
Publisher | : World Scientific |
Total Pages | : 502 |
Release | : 1995 |
Genre | : Science |
ISBN | : 9789810220044 |
Download Knots and Applications Book in PDF, ePub and Kindle
This volume is a collection of research papers devoted to the study of relationships between knot theory and the foundations of mathematics, physics, chemistry, biology and psychology. Included are reprints of the work of Lord Kelvin (Sir William Thomson) on the 19th century theory of vortex atoms, reprints of modern papers on knotted flux in physics and in fluid dynamics and knotted wormholes in general relativity. It also includes papers on Witten's approach to knots via quantum field theory and applications of this approach to quantum gravity and the Ising model in three dimensions. Other papers discuss the topology of RNA folding in relation to invariants of graphs and Vassiliev invariants, the entanglement structures of polymers, the synthesis of molecular Mobius strips and knotted molecules. The book begins with an article on the applications of knot theory to the foundations of mathematics and ends with an article on topology and visual perception. This volume will be of immense interest to all workers interested in new possibilities in the uses of knots and knot theory.
Author | : Ruben Aldrovandi |
Publisher | : World Scientific |
Total Pages | : 214 |
Release | : 2021-10-14 |
Genre | : Science |
ISBN | : 9811248508 |
Download A Gentle Introduction To Knots, Links And Braids Book in PDF, ePub and Kindle
The interface between Physics and Mathematics has been increasingly spotlighted by the discovery of algebraic, geometric, and topological properties in physical phenomena. A profound example is the relation of noncommutative geometry, arising from algebras in mathematics, to the so-called quantum groups in the physical viewpoint. Two apparently unrelated puzzles — the solubility of some lattice models in statistical mechanics and the integrability of differential equations for special problems — are encoded in a common algebraic condition, the Yang-Baxter equation. This backdrop motivates the subject of this book, which reveals Knot Theory as a highly intuitive formalism that is intimately connected to Quantum Field Theory and serves as a basis to String Theory.This book presents a didactic approach to knots, braids, links, and polynomial invariants which are powerful and developing techniques that rise up to the challenges in String Theory, Quantum Field Theory, and Statistical Physics. It introduces readers to Knot Theory and its applications through formal and practical (computational) methods, with clarity, completeness, and minimal demand of requisite knowledge on the subject. As a result, advanced undergraduates in Physics, Mathematics, or Engineering, will find this book an excellent and self-contained guide to the algebraic, geometric, and topological tools for advanced studies in theoretical physics and mathematics.
Author | : Dirk Kreimer |
Publisher | : Cambridge University Press |
Total Pages | : 276 |
Release | : 2000-07-20 |
Genre | : Mathematics |
ISBN | : 9780521587617 |
Download Knots and Feynman Diagrams Book in PDF, ePub and Kindle
This volume explains how knot theory and Feynman diagrams can be used to illuminate problems in quantum field theory. The author emphasizes how new discoveries in mathematics have inspired conventional calculational methods for perturbative quantum field theory to become more elegant and potentially more powerful methods. The material illustrates what may possibly be the most productive interface between mathematics and physics. As a result, it will be of interest to graduate students and researchers in theoretical and particle physics as well as mathematics.
Author | : Michael Francis Atiyah |
Publisher | : Cambridge University Press |
Total Pages | : 112 |
Release | : 1990-08-23 |
Genre | : Mathematics |
ISBN | : 9780521395540 |
Download The Geometry and Physics of Knots Book in PDF, ePub and Kindle
These notes deal with an area that lies at the crossroads of mathematics and physics and rest primarily on the pioneering work of Vaughan Jones and Edward Witten, who related polynomial invariants of knots to a topological quantum field theory in 2+1 dimensions.