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Gauge Fields, Knots, and Gravity






Publisher:  World Scientific Publishing Company, Incorporated
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.

Baez, J. is the author of Gauge Fields, Knots, and Gravity, published under ISBN 9789810217297 and 9810217293. One hundred ninety nine Gauge Fields, Knots, and Gravity textbooks are available for sale on ValoreBooks.com, ninety nine used from the cheapest price of $118.55, or buy new starting at $118.55.
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ISBN-13: 9789810217297

ISBN: 9810217293

Publisher: World Scientific Publishing Company, Incorporated
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