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 arb
Gauge theories, knots, and gravity
โ Scribed by John C. Baez, Javier P. Muniain
- Book ID
- 127431143
- Publisher
- World Scientific Publishing Company
- Year
- 1994
- Tongue
- English
- Weight
- 3 MB
- Series
- Series on Knots and Everything, Vol. 4
- Category
- Library
- ISBN-13
- 9789810220341
No coin nor oath required. For personal study only.
โฆ Synopsis
The book is clearly written and should be accessible to readers who have a good undergraduate preparation in mathematics or physics. Each part of the book ends with a list of references that will enable the reader to pursue the material presented in greater detail.
๐ SIMILAR VOLUMES
This text provides a self-contained introduction to applications of loop representations and knot theory in particle physics and quantum gravity. Loop representations (and the related topic of knot theory) are of considerable current interest because they provide a unified arena for the study of the
## Abstract Topological gauge theories in four dimensions which admit surface operators provide a natural framework for realizing homological knot invariants. Every such theory leads to an action of the braid group on branes on the corresponding moduli space. This action plays a key role in the con