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Gauge Fields, Knots And Gravity

Name: Gauge Fields, Knots And Gravity
Brand: World Scientific Publishing Co Pte Ltd
SKU: 05064927
Price: 78.69 EUR
Availability: InStock
Author: John C. Baez
ISBN: 9789810220341

John C. Baez

Javier P. Muniain

Idioma

Inglés

Libro Tapa blanda

Código Libristo: 05064927

Editores World Scientific Publishing Co Pte Ltd, octubre 1994

This is an introduction to the basic tools of mathematics needed to understand the relation between... Descripción completa

Código Libristo: 05064927

193 b

78.69 €

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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.