| Introduction | p. 1 |
| Integer Effect | p. 3 |
| Quantized Hall Resistance and the Measurement of the Fine-Structure Constant | p. 21 |
| Localization, Percolation and the Quantum Hall Effect | p. 25 |
| Quantized Hall Conductivity in Two-Dimensions | p. 33 |
| Quantized Hall Conductance, Current-Carrying Edge States and the Existence of Extended States in a Two-Dimensional Disordered Potential | p. 35 |
| Quantized Hall Conductance in a Two-Dimensional Periodic Potential | p. 41 |
| Quantized Hall Conductance as a Topological Invariant | p. 45 |
| Quantum Hall Effect with Realistic Boundary Conditions | p. 51 |
| Topological Invariant and the Quantization of the Hall Conductance | p. 61 |
| Quantization of the Hall Conductance for General Multiparticle Schrodinger Hamiltonians | p. 73 |
| Adiabatic Quantum Transport in Multiply Connected Systems | p. 77 |
| Localization, Wave-Function Topology, and the Integer Quantum Hall Effect | p. 120 |
| The Fractional Effect | p. 125 |
| Formalism for Quantum Hall Effect: Hilbert Space of Analytic Functions | p. 132 |
| Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations | p. 141 |
| Fractional Statistics and the Quantum Hall Effect | p. 145 |
| Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid States | p. 147 |
| Statistics of Quasiparticles and the Heirarchy of Fractional Quantized Hall States | p. 151 |
| Particle-Hole Symmetry in the Anomalous Quantum Hall Effect | p. 155 |
| Hierarchical Classification of Fractional Quantum Hall States | p. 158 |
| Structure of Microscopic Theory of the Quantum Hall Effect | p. 170 |
| Composite Fermion Approach for the Quantum Hall Effect | p. 183 |
| Excitation Structure of the Hierarchy Scheme for the Fractional Quantum Hall Effect | p. 187 |
| Effects of Global Topology | p. 191 |
| Gauge Invariance and the Fractional Quantum Hall Effect | p. 200 |
| Periodic Laughlin-Jastrow Wave Functions for the Fractional Quantum Hall Effect | p. 202 |
| Ground-State Degeneracy of the Fractional Quantum Hall States in the Presence of a Random Potential and on High-Genus Riemann Surfaces | p. 205 |
| Gauge Invariance in Chern-Simons Theory on a Torus | p. 225 |
| Coulomb Gas Description of the Collective States for the Fractional Quantum Hall Effect | p. 229 |
| Non-Abelian Statistics in the Fractional Quantum Hall States | p. 237 |
| Fractional Quantum Hall Effect and Non-Abelian Statistics | p. 241 |
| A Note on Braid Statistics and the Non-Abelian Aharonov-Bohm Effect | p. 258 |
| Singlet Quantum Hall Effect and Chern-Simons Theories | p. 270 |
| Effective Theories | p. 283 |
| Collective Excitation Gap in the Fractional Quantum Hall Effect | p. 296 |
| Cooperative-Ring-Exchange Theory of the Fractional Quantized Hall Effect | p. 299 |
| Off-Diagonal Long Range Order, Oblique Confinement, and the Fractional Quantum Hall Effect | p. 303 |
| Effective-Field-Theory Model for the Fractional Quantum Hall Effect | p. 307 |
| Off-Diagonal Long Range Order in Fractional Quantum-Hall-Effect States | p. 311 |
| Order Parameter and Ginzburg-Landau Theory for the Fractional Quantum Hall Effect | p. 315 |
| Collective Excitations in the Ginzburg-Landau Theory of the Fractional Quantum Hall Effect | p. 319 |
| Superfluid Dynamics of the Fractional Quantum Hall State | p. 323 |
| Edge States and Current Algebras | p. 329 |
| Chiral Luttinger Liquid and the Edge Excitations in the Fractional Quantum Hall States | p. 340 |
| Edge Excitations in the Fractional Quantum Hall Liquids | p. 347 |
| Edge Waves in the Quantum Hall Effect | p. 351 |
| Schur Functions, Chiral Bosons and the Quantum Hall Effect Edge States | p. 366 |
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