**Proceedings of Symposia in Applied Mathematics**

Volume: 51;
1996;
208 pp;
Hardcover

MSC: Primary 18; 53; 55; 57;
Secondary 78; 81; 82; 83

Print ISBN: 978-0-8218-0380-6

Product Code: PSAPM/51

List Price: $50.00

Individual Member Price: $40.00

**Electronic ISBN: 978-0-8218-9266-4
Product Code: PSAPM/51.E**

List Price: $50.00

Individual Member Price: $40.00

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# The Interface of Knots and Physics

Share this page *Edited by *
*Louis H. Kauffman*

This book is the result of an AMS Short Course on Knots and Physics that was held in San Francisco (January 1994). The range of the course went beyond knots to the study of invariants of low dimensional manifolds and extensions of this work to four manifolds and to higher dimensions. The authors use ideas and methods of mathematical physics to extract topological information about knots and manifolds.

A basic introduction to knot polynomials in relation to statistical link invariants.

Concise introductions to topological quantum field theories and to the role of knot theory in quantum gravity.

#### Table of Contents

# Table of Contents

## The Interface of Knots and Physics

- Contents vii8 free
- Preface ix10 free
- Knots and statistical mechanics 112 free
- An introduction to topological field theory 89100
- Vassiliev and quantum invariants of braids 129140
- The modern legacies of Thomson's atomic vortex theory in classical electrodynamics 145156
- Spin networks in nonperturbative quantum gravity 167178
- Index 205216

#### Readership

Researchers and graduate students in mathematics and physics.