Low-Dimensional Topology and Quantum Field Theory

Combinatorial recoupling theory and 3-manifold invariants.- Quantum field theory and A,B,C,D IRF model invariants.- On combinatorial three-manifold invariants.- Schwinger-Dyson equation in three dimensional simplicial quantum gravity.- Observables in the Kontsevich model.- Matrix models in statistical mechanics and quantum field theory, recent examples and problems.- Dilogarithms and W-algebras.- Dilogarithm identities and spectra in conformal field theory.- Physical states in topological coset models.- Finite W symmetry in finite dimensional integrable systems.- On the “Drinfeld-Sokolov” reduction of the Khizhnik-Zamolodchikov equation.- Noncritical dimensions for critical string theory: life beyond the Calabi-Yau frontier.- W? algebra in two-dimensional black holes.- Graded Lie derivatives and short distance expansions in two dimensions.- 2D Black holes and 2D gravity.- The structure of finite dimensional affine Hecke algebra quotients and their realization in 2D lattice models.- An exact renormalisation in a vertex model.- New representations of the Temperley-Lieb algebra with applications.- Order-disorder quantum symmetry in G-spin models.- Quantum groups, quantum spacetime and Dirac equation.- Hamiltonian structure of equations appearing in random matrices.- On the existence of pointlike localized fields in conformally invariant quantum physics.- The phase space of the Wess-Zumino-Witten model.- Regularization and renormalization of Chern-Simons theory.- Ray-Singer torsion, topological field theories and the Riemann zeta function at s = 3.- Monstrous moonshine and the uniqueness of the moonshine module.- Lie algebras and polynomial solutions of differential equations.- Torus actions, moment maps, and the symplectic geometry of the moduli space of flatconnections on a two-manifold.- Geometric quantization and Witten’s semiclassical manifold invariants.