Kohno T. New Developments in the Theory of Knots 1990

Textbook in PDF format

The book gives a comprehensive and full account of recent developments and deep interrelations of new results in modern mathematical physics and will be useful for all scholars aiming to enter quickly into this new and promising field of science.
Preface.
Pioneering works on new knot polynomials.
Further works, a relation with statistical mechanics and the Yang-Baxter equation.
Algebraic aspects, background from C* Algebras.
Background from topology, classical works.
Miscellaneous topics on new link polynomials.
Monodromy of braid groups, a relation with conformal field theory