Gauge Fields, Knots And Gravity
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.
1100248976
Gauge Fields, Knots And Gravity
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.
129.0
In Stock
5
1
Gauge Fields, Knots And Gravity
480
Gauge Fields, Knots And Gravity
480Hardcover
$129.00
129.0
In Stock
Product Details
| ISBN-13: | 9789810217297 |
|---|---|
| Publisher: | World Scientific Publishing Company, Incorporated |
| Publication date: | 10/01/1994 |
| Series: | Series On Knots And Everything , #4 |
| Pages: | 480 |
| Product dimensions: | 6.00(w) x 9.00(h) x 1.06(d) |
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