DIFF GEOM METH THEORE PHY (2V)

This proceedings reports on some of the most recent advances on the interaction between Differential Geometry and Theoretical Physics, a very active and exciting area of contemporary research.

The papers are grouped into the following four broad categories: Geometric Methods, Noncommutative Geometry, Quantum Gravity and Topological Quantum Field Theory. A few of the topics covered are Chern-Simons Theory and Generalizations, Knot Invariants, Models of 2D Gravity, Quantum Groups and Strings on Black Holes.

• Quantum Affine Algebras, Commutative Systems of Difference Equations and Elliptic Solutions to the Yang-Baxter Equations (I B Frenkel & N Yu Reshetikhin)
• Conformal and Quasi-Conformal Structures in Space-Time (F Gürsey)
• Coincident Link Polynomials from Commuting Transfer Matrices (V F R Jones)
• Chern-Simons Perturbation Theory (S Axelrod & I M Singer)
• A Geometric Approach to Representation Theory of Quantum Groups (A Varchenko)
• On the Kontsevich Model and Other Models of Two Dimensional Gravity (E Witten)
• and other papers