دانلود کتاب Quantum Invariants of Knots and 3-Manifolds

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Contents\nIntroduction\nPart I. Towards Topological Field Theory\nChapter I. Invariants of graphs in Euclidean 3-space\nChapter II. Invariants of closed 3-manifolds\nChapter III. Foundations of topological quantum field theory\nChapter IV. Three-dimensional topological quantum field theory\nChapter V. Two-dimensional modular functors\nPart II. The Shadow World\nChapter VI. 6j-symbols\nChapter VII. Simplicial state sums on 3-manifolds\nChapter VIII. Generalities on shadows\nChapter IX. Shadows of manifolds\nChapter X. State sums on shadows\nPart III. Towards Modular Categories\nChapter XI. An algebraic construction of modular categories\nChapter XII. A geometric construction of modular categories\nAppendix I. Dimension and trace re-examined\nAppendix II. Vertex models on link diagrams\nAppendix III. Gluing re-examined\nAppendix IV. The signature of closed 4-manifolds from a state sum\nProblems\nReferences\nSubject index