Gauge Fields, Knots And Gravity
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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 |