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Gauge Fields, Knots and Gravity (World Scientific Series on Nonlinear Science)

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ISBN-13: 

9789810217297


ISBN: 

9810217293


Pub Date: 
Publisher:  World Scientific Publishing Company
Summary: 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 theor...y 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.

John C. Baez is the author of Gauge Fields, Knots and Gravity (World Scientific Series on Nonlinear Science), published 1994 under ISBN 9789810217297 and 9810217293. One hundred one Gauge Fields, Knots and Gravity (World Scientific Series on Nonlinear Science) textbooks are available for sale on ValoreBooks.com, fifty used from the cheapest price of $108.92, or buy new starting at $108.92.
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Gauge Fields, Knots and Gravity (World Scientific Series on Nonlinear Science)

ISBN-13: 9789810217297


ISBN: 9810217293


Pub Date:
Publisher: World Scientific Publishing Company
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