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GAUGE FIELDS,KNOTS & GRAVITY (V4)

By Baez J

GAUGE FIELDS,KNOTS & GRAVITY (V4)

By Baez J

0 - Default Title
Description
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.
Product details
Binding:
Paperback
Number of Pages:
486
Release Date:
1994-09-01
Publication Date:
1994-10-24
Publisher:
World Scientific
Languages:
Original: English
ISBN10:
9810220340
ISBN13:
9789810220341
GPSR Manufacturer Reference:
[email protected]
Weight:
697 g
Height:
152 cm
Width:
229 cm
Thickness:
27 cm
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