Vertex Algebras

  1. Intertwining Operators and Fusion
    1. Intertwining Operator Spaces
      1. Definition and Properties
        1. Dimension Formulas
          1. Convergence Properties
            1. Analytic Continuation
            2. Fusion Rules
              1. Fusion Ring Structure
                1. Verlinde Formula
                  1. Modular Invariance
                    1. Rationality Conditions
                    2. Braiding and Associativity
                      1. Braiding Isomorphisms
                        1. Associativity Constraints
                          1. Pentagon and Hexagon Identities
                            1. Quantum Dimensions
                            2. Modular Properties
                              1. Modular Transformations
                                1. S-Matrix and T-Matrix
                                  1. Modular Invariant Partition Functions
                                    1. Galois Symmetry

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                                  10. Advanced Constructions

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                                  12. Zhu's Theory