Hardcover ISBN:  9780821803806 
Product Code:  PSAPM/51 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821892664 
Product Code:  PSAPM/51.E 
List Price:  $99.00 
MAA Member Price:  $89.10 
AMS Member Price:  $79.20 
Hardcover ISBN:  9780821803806 
eBook: ISBN:  9780821892664 
Product Code:  PSAPM/51.B 
List Price:  $224.00 $174.50 
MAA Member Price:  $201.60 $157.05 
AMS Member Price:  $179.20 $139.60 
Hardcover ISBN:  9780821803806 
Product Code:  PSAPM/51 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821892664 
Product Code:  PSAPM/51.E 
List Price:  $99.00 
MAA Member Price:  $89.10 
AMS Member Price:  $79.20 
Hardcover ISBN:  9780821803806 
eBook ISBN:  9780821892664 
Product Code:  PSAPM/51.B 
List Price:  $224.00 $174.50 
MAA Member Price:  $201.60 $157.05 
AMS Member Price:  $179.20 $139.60 

Book DetailsProceedings of Symposia in Applied MathematicsVolume: 51; 1996; 208 ppMSC: Primary 18; 53; 55; 57; Secondary 78; 81; 82; 83
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.
Features:
 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.
Knots and Physics would be an excellent supplement to a course on algebraic topology or a physics course on field theory.
ReadershipResearchers and graduate students in mathematics and physics.

Table of Contents

Articles

Louis H. Kauffman — Knots and statistical mechanics [ MR 1372765 ]

R. J. Lawrence — An introduction to topological field theory [ MR 1372766 ]

Dror BarNatan — Vassiliev and quantum invariants of braids [ MR 1372767 ]

Samuel J. Lomonaco, Jr. — The modern legacies of Thomson’s atomic vortex theory in classical electrodynamics [ MR 1372768 ]

John C. Baez — Spin networks in nonperturbative quantum gravity [ MR 1372769 ]


RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
 Book Details
 Table of Contents
 Requests
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.
Features:
 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.
Knots and Physics would be an excellent supplement to a course on algebraic topology or a physics course on field theory.
Researchers and graduate students in mathematics and physics.

Articles

Louis H. Kauffman — Knots and statistical mechanics [ MR 1372765 ]

R. J. Lawrence — An introduction to topological field theory [ MR 1372766 ]

Dror BarNatan — Vassiliev and quantum invariants of braids [ MR 1372767 ]

Samuel J. Lomonaco, Jr. — The modern legacies of Thomson’s atomic vortex theory in classical electrodynamics [ MR 1372768 ]

John C. Baez — Spin networks in nonperturbative quantum gravity [ MR 1372769 ]