KNOTS, TOPOLOGY AND QUANTUM FIELD THEORIES

The Table of Contents for the book is as follows:

• Foreword

• Quantization on the Lattice of Topologies

• Loop Representation for Quantum Gravity in 2 + 1 Dimensions

• Are Knots Quantum States of Space Time?

• Canonical 2+1 Dimensional Quantum Gravity

• Classical Observables of the Nambu String from the Many-Time Approach

• Chern-Simons Field Theory and Link Invariants

• Canonical Quantization of Chern-Simons-Witten Lagrangians and their Connection to CFT

• Basic Cohomology and Topological Quantum Field Theories

• Knots, Abstract Tensors and the Yang-Baxter Equation

• Superselection Structure and Statistics in Three-Dimensional Local Quantum Theory

• Duality and Quantum Groups

• The Role of the Yang-Baxter Equation in Conformai Field Theory

• Quantum sl(2) Enveloping Algebra and Representations of Braid Group

• Virasoro and Temperley Lieb Algebras

• The Universal R-Matrix for the Quantum SL(N)-Group

• Fusion and Braiding in W-Algebra Extended and Coset Conformai Theories

• Comments on Conformai Embeddings and Factorization of Braiding Matrices

• Character Formulae for U_q(sl(3,C)) Representations

• Ward Identities for Lagrangian Conformai Models

• b-c Systems and Conformai Field Theory

• Discrete Jordan Algebras and Superstring Symmetries

• Strings and Gravity at Planckian Energies

• Gravitino Interactions and Non-Linear Realization of the Supersymmetry

• The Supermembrane Mass Spectrum

• A New Doubly Infinite-Dimensional Superalgebra with Central Extension