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This work is based on Witten's lectures on topological quantum field theory. Sen Hu has included several appendices providing detals left out of Witten's lectures, and has added two more chapters to update some developments.

Gauge fields (Physics) --- Geometric quantization. --- Invariants. --- Quantum field theory --- Three-manifolds (Topology) --- Mathematics. --- Witten, E. --- Théorie quantique des champs --- Quantification géométrique. --- Champs de jauge (physique) --- Variétés topologiques à 3 dimensions. --- Mathématiques. --- Théorie quantique des champs --- Quantification géométrique. --- Variétés topologiques à 3 dimensions. --- Mathématiques.