- Paperback: 124 pages
- Publisher: Amer Mathematical Society (November 1991)
- Language: English
- ISBN-10: 0821807293
- ISBN-13: 978-0821807293
- Product Dimensions: 25.6 x 17.6 x 1 cm
- Shipping Weight: 381 g
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Product Details |
Product Description
Book Description
This book is based on a set of lectures presented by the author at the NSF-CBMS Regional Conference, Applications of Operator Algebras to Knot Theory and Mathematical Physics, held at the U.S. Naval Academy in Annapolis in June 1988. The audience consisted of low-dimensional topologists and operator algebraists, so the speaker attempted to make the material comprehensible to both groups. He provides an extensive introduction to the theory of von Neumann algebras and to knot theory and braid groups. The presentation follows the historical development of the theory of subfactors and the ensuing applications to knot theory, including full proofs of some of the major results. The author treats in detail the Homfly and Kauffman polynomials, introduces statistical mechanical methods on knot diagrams, and attempts an analogy with conformal field theory. Written by one of the foremost mathematicians of the day, this book will give readers an appreciation of the unexpected interconnections between different parts of mathematics and physics.
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4.0 out of 5 stars (1 customer review)
2 of 2 people found the following review helpful
4.0 out of 5 stars
introduction to knot theory, Aug 23 1999
By Mathieu Dutour - Published on Amazon.com
This review is from: Subfactors and Knots (Paperback)
This book asserts three subjects:-subfactor theory: It gives the possible values of the index, nevertheless it is too sketchy and one solely interested in this subject should read his inventiones papers.
-knot theory: this is the best part of the books which explain without prerequisites and with great clarity the way to compute knot invariants.
-a pot pourri about 'knot and statistical mechanics' generalization. This part is the worst since the book is now quite old and the idea are not clear.
This book as the virtues of lectures (clarity, geometric ideas) and it's defaults (few computations, lack of rigor)
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