Gauge Fields, Knots And Gravity by Javier Muniain

Gauge Fields, Knots And Gravity by Javier Muniain

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Gauge Fields, Knots And Gravity by Javier Muniain

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.
SKU Nicht verfügbar
ISBN 13 9789810220341
ISBN 10 9810220340
Titel Gauge Fields, Knots And Gravity
Autor John C Baez
Serie Series On Knots And Everything
Buchzustand Nicht verfügbar
Bindungsart Paperback
Verlag World Scientific Publishing Company
Erscheinungsjahr 1994-10-24
Seitenanzahl 486
Hinweis auf dem Einband Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
Hinweis Nicht verfügbar