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Book 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 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
- ISBN-13
- 9789810220341
- Language
- English
- Binding
- Paper Back
- Publisher
- World Scientific Publishing Co P Lt
- Publishing Date
- 1994-10-01
- Product Edition
- 4
- Total Pages
- 480
Gauge Fields Knots & Gravity : Series On Knots & Everything Vol 4
by John Baez, Javier P Muniain (Author),
World Scientific Publishing Co P Lt (Publisher)
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Product Specifications
Book 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 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
Book Specifications
- ISBN-13
- 9789810220341
- Language
- English
- Binding
- Paper Back
- Publisher
- World Scientific Publishing Co P Lt
- Publishing Date
- 1994-10-01
- Product Edition
- 4
- Total Pages
- 480