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.
Contents:- 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
Readership: Physicists.
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