» » The Geometry and Physics of Knots (Lezioni Lincee)

Free eBook The Geometry and Physics of Knots (Lezioni Lincee) download

by Michael Atiyah

Free eBook The Geometry and Physics of Knots (Lezioni Lincee) download ISBN: 0521395216
Author: Michael Atiyah
Publisher: Cambridge University Press; 1 edition (October 26, 1990)
Language: English
Pages: 88
Category: Math Science
Subcategory: Mathematics
Size MP3: 1608 mb
Size FLAC: 1283 mb
Rating: 4.1
Format: azw docx lrf mbr


This book is a very quick overview of what was known at the time (1989) about the connection between quantum field theory and knot theory

This book is a very quick overview of what was known at the time (1989) about the connection between quantum field theory and knot theory. The subject of topological quantum field theories and their connection with knot invariants was at that time just beginning thanks to the work of Edward Witten on the Jones polynomial. The approach that the author takes in the book is very formal and not for the beginner who is looking to learn about these results.

The Geometry and Physics. has been added to your Cart. The book however does give an indication of how Feynman path integrals are used to define the invariants.

The book will be essential reading for all geometers and gauge theorists as an exposition of. .ISBN 13: 9780521395212. Series: Lezioni Lincee. Other readers will always be interested in your opinion of the books you've read

ISBN 13: 9780521395212. File: PDF, . 6 MB. Читать онлайн. Other readers will always be interested in your opinion of the books you've read. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them. 1. Aesthetic Communication.

These notes arise from lectures presented in Florence under the auspices of the Accadamia dei Lincee and deal with an area that lies at the crossroads of mathematics and physics

These notes arise from lectures presented in Florence under the auspices of the Accadamia dei Lincee and deal with an area that lies at the crossroads of mathematics and physics. The material presented here rests primarily on the pioneering work of Vaughan Jones and Edward Witten relating polynomial invariants of knots to a topological quantum field theory in 2+1 dimensions. Professor Atiyah here presents an introduction to Witten's ideas from the mathematical point of view. The book will be essential reading for all geometers and gauge theorists as an exposition of new.

Поиск книг BookFi BookSee - Download books for free. Collected papers of V. K. Patodi. The Geometry and Physics of Knots (Lezioni Lincee). V K Patodi; Michael Francis Atiyah; M S Narasimhan (ed. 14. 0 Mb. Introduction to commutative algebra. Категория: Mathematics, Algebra, Algebra textbooks. 398 Kb. Fields Medallists' Lectures (World Scientific Series in 20th Century Mathematics, Vol 5). Michael Atiyah.

Series: Lezioni lincee . In earlier periods geometry and physics interacted at the classical level, as in Einstein's theory of general relativity, with gravitational force being interpreted in terms of cur- curvature. The new feature of the present interaction is that quantum theory is now involved and it turns out to have significant relations with topology. A knot is by definition a smooth-embedding of a circle in i?3. Two knots are equivalent if one knot can be deformed continuously into the other without crossing itself.

Goodreads helps you keep track of books you want to read. See a Problem? We’d love your help. Start by marking The Geometry and Physics of Knots as Want to Read: Want to Read savin. ant to Read. Details (if other): Cancel. Thanks for telling us about the problem. The Geometry and Physics of Knots. by. Michael Francis Atiyah.

Atiyah, Michael Francis, 1929-. Cambridge ; New York : Cambridge University Press. Books for People with Print Disabilities. Trent University Library Donation.

Author: Michael Atiyah. Chaotic Evolution and Strange Attractors (Lezioni Lincee). Bound Carbohydrates in Nature (Lezioni Lincee).

Part of the Contemporary Mathematicians book series (CM). If ak denotes the number of k-dimensional faces of a finite polyhedron P, then (chi (p) mathop sum nolimits {( - 1)^k}{a k}). Reprinted with permission.

Deals with an area of research that lies at the crossroads of mathematics and physics. The material presented here rests primarily on the pioneering work of Vaughan Jones and Edward Witten relating polynomial invariants of knots to a topological quantum field theory in 2+1 dimensions. Professor Atiyah presents an introduction to Witten's ideas from the mathematical point of view. The book will be essential reading for all geometers and gauge theorists as an exposition of new and interesting ideas in a rapidly developing area.
User reviews
Eigonn
It is a very helpful and useful book and a pretty good deal. I can learn a lot through this book.
Virtual
This book is a very quick overview of what was known at the time (1989) about the connection between quantum field theory and knot theory. The subject of topological quantum field theories and their connection with knot invariants was at that time just beginning thanks to the work of Edward Witten on the Jones polynomial.
The approach that the author takes in the book is very formal and not for the beginner who is looking to learn about these results. Readers with enough background to read it will no doubt want to read more up-to-date treatments of the subject. The book however does give an indication of how Feynman path integrals are used to define the invariants. The use of these is not rigorous mathematics and this has not changed at the present day.