Gauge Fields, Knots And Gravity (Hardcover)

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.

General

Imprint:	World Scientific Publishing Co Pte Ltd
Country of origin:	Singapore
Series:	Series on Knots & Everything, 4
Release date:	October 1994
First published:	October 1994
Authors:	John C. Baez • Javier P. Muniain
Dimensions:	236 x 160 x 33mm (L x W x T)
Format:	Hardcover
Pages:	480
ISBN-13:	978-981-02-1729-7
Categories:	Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematics for scientists & engineers Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics) > General Books > Science & Mathematics > Physics > Applied physics & special topics > Astrophysics
LSN:	981-02-1729-3
Barcode:	9789810217297

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