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Foliations (Mathematics) --- Three-manifolds (Topology) --- Foliations (Mathematics) --- Variétés topologiques à 3 dimensions

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In the spring of 1985, A. Casson announced an interesting invariant of homology 3-spheres via constructions on representation spaces. This invariant generalizes the Rohlin invariant and gives surprising corollaries in low-dimensional topology. In the fall of that same year, Selman Akbulut and John McCarthy held a seminar on this invariant. These notes grew out of that seminar. The authors have tried to remain close to Casson's original outline and proceed by giving needed details, including an exposition of Newstead's results. They have often chosen classical concrete approaches over general methods. For example, they did not attempt to give gauge theory explanations for the results of Newstead; instead they followed his original techniques.Originally published in 1990.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Three-manifolds (Topology) --- Invariants. --- Variétés topologiques à 3 dimensions --- Analyse multidimensionnelle --- Variétés topologiques à 3 dimensions --- 3-manifolds (Topology) --- Manifolds, Three dimensional (Topology) --- Three-dimensional manifolds (Topology) --- Low-dimensional topology --- Topological manifolds

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Algebraic topology --- Three-manifolds (Topology) --- Variétés topologiques à 3 dimensions --- 515.16 --- #WWIS:ALTO --- 3-manifolds (Topology) --- Manifolds, Three dimensional (Topology) --- Three-dimensional manifolds (Topology) --- Low-dimensional topology --- Topological manifolds --- Topology of manifolds --- 515.16 Topology of manifolds --- Variétés topologiques à 3 dimensions

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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.

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Algebraic topology --- Ordered algebraic structures --- 515.16 --- Group theory --- Knot theory --- Three-manifolds (Topology) --- 3-manifolds (Topology) --- Manifolds, Three dimensional (Topology) --- Three-dimensional manifolds (Topology) --- Low-dimensional topology --- Topological manifolds --- Knots (Topology) --- Groups, Theory of --- Substitutions (Mathematics) --- Algebra --- Topology of manifolds --- 515.16 Topology of manifolds --- Théorie des noeuds --- Groupes, Théorie des --- Variétés topologiques à 3 dimensions --- Topologie algébrique --- Variétés topologiques