6.1. 3. Evaluation of the partition function 252 A. 2. Supersymmetric quantum mechanics 319
6.1. 4. Evaluation ofthe observables: knot A. 3. Topological sigma models 320 invariants 255 …

This is a review article on the quantum toroidal algebras, focusing on their roles in various
solvable structures of 2d conformal field theory, supersymmetric gauge theory, and string …

By disentangling the hamiltonian constraint equations, 2+ 1 dimensional gravity (with or
without a cosmological constant) is shown to be exactly soluble at the classical and quantum …

Riemannian geometry is characterized, and research is oriented towards and shaped by
concepts (geodesics, connections, curvature,...) and objectives, in particular to understand …

We consider BPS states in a large class of d= 4, N= 2 field theories, obtained by reducing six-
dimensional (2, 0) superconformal field theories on Riemann surfaces, with defect operators …

In recent years there has been a remarkable renaissance in the relation between Geometry
and Physics. This relation involves the most advanced and sophisticated ideas on each side …

The last ten years have seen rapid advances in the understanding of differentiable four-
manifolds, not least of which has been the discovery of new'exotic'manifolds. These results …

Let X be a compact Kahler manifold. In this paper we will study a correspondence between
representations of the fundamental group of X, and certain holomorphic objects on X. A …

The space of representations of the fundamental group is a natural topological invariant of a
manifold. If a manifold has the additional structure of a smooth projecdve variety over the …

Let G be a split semisimple algebraic group over Q with trivial center. Let S be a compact
oriented surface, with or without boundary. We define positive representations of the …