Name: Gauge Fields, Knots and Gravity: Vol 1 (Series on Knots & Everything)
Price: 77.74 GBP
Availability: InStock
Author: John C. Baez
ISBN: 9789810220341

portada Gauge Fields, Knots and Gravity: Vol 1 (Series on Knots & Everything)

Type

Physical Book

Publisher

World Scientific Pub Co Inc

Author

John C. Baez

Year

1994

Language

English

Pages

480

Format

Paperback

Weight

ISBN

9810220340

ISBN13

9789810220341

Edition No.

Synopsis "Gauge Fields, Knots and Gravity: Vol 1 (Series on Knots & Everything)"

This is an introduction to the basic tools of mathematics needed to understand the relation between knot theory and quantum gravity. The book begins with a rapid course on manifolds and differential forms, emphasizing how these provide a proper language for formulating Maxwell's equations on arbitrary spacetimes. The authors then introduce vector bundles, connections and curvature in order to generalize Maxwell theory to the Yang-Mills equations. The relation of gauge theory to the newly discovered knot invariants such as the Jones polynomial is sketched. Riemannian geometry is then introduced in order to describe Einstein's equations of general relativity and show how an attempt to quantize gravity leads to interesting applications of knot theory.

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Gauge Fields, Knots and Gravity: Vol 1 (Series on Knots & Everything) - John C. Baez

Synopsis "Gauge Fields, Knots and Gravity: Vol 1 (Series on Knots & Everything)"

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