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World Scientific Publishing Company Gauge Fields, Knots and Gravity

Name: Gauge Fields, Knots and Gravity
Brand: World Scientific Publishing Company
Price: 25.59 GBP
Availability: InStock

Mathematical

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Description

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.

Product Specifications

Brand: World Scientific Publishing Company
Format: paperback
ASIN: 9810220340
Category: Books > Subjects > Science, Nature & Maths > Physics > Mathematical
Domain: Amazon UK
Release Date: 01 October 1994
Listed Since: 23 January 2007

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World Scientific Publishing Company Gauge Fields, Knots and Gravity

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