Hardcover ISBN:  9780821803806 
Product Code:  PSAPM/51 
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eBook ISBN:  9780821892664 
Product Code:  PSAPM/51.E 
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Hardcover ISBN:  9780821803806 
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Product Code:  PSAPM/51.B 
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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 ]


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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.
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 ]