edited by Toshitake Kohno (Nagoya Univ.)

Table of Contents (116k)
Preface (47k)
A Polynomial Invariant for Knots Via Von Neumann Algebras1 (395k)

This reprint volume focuses on recent developments in knot theory arising from mathematical physics, especially solvable lattice models, Yang-Baxter equation, quantum group and two dimensional conformal field theory. This volume is helpful to topologists and mathematical physicists because existing articles are scattered in journals of many different domains including Mathematics and Physics. This volume will give an excellent perspective on these new developments in Topology inspired by mathematical physics.

• A New Polynomial Invariant of Knots and Links (P Freyd et al.)
• Knots, Links, Braids and Exactly Solvable Models in Statistical Mechanics (Y Akutsu & M Wadati)
• Statistical Mechanics and the Jones Polynomial (L Kauffman)
• Index of Subfactors (V Jones)
• The Minimal Number of Seifert Circles Equals the Braid Index of Link (S Yamada)
• On the Polynomial of Closed 3- Braids (J Birman)
• The 2-Variable Jones Polynomials of Cable Knots (H Morton & H Short)
• Vertex Operators in Conformal Field Theory on P1 and Monodromy Representations of Braid Groups (A Tsuchiya & Y Kanie)
• Statistics of Fields, the Yang-Baxter Equation and the Theory of Knots and Links in “Non- Perturbative Quantum Field Theory” (J Frohlich)
• and other papers