Useful Links
1. Foundations and Motivation
2. Mathematical Preliminaries
3. Basic Structure of Vertex Algebras
4. Axioms and Fundamental Properties
5. Core Operations and Concepts
6. Fundamental Examples
7. Affine Vertex Algebras
8. Virasoro and Conformal Structure
9. Module Theory and Representations
10. Advanced Constructions
11. Intertwining Operators and Fusion
12. Zhu's Theory
13. Vertex Operator Superalgebras
14. Rationality and Finiteness
15. Moonshine and Connections
16. Computational Aspects
17. Applications and Related Areas
  1. Mathematics

Vertex Algebras

1. Foundations and Motivation
2. Mathematical Preliminaries
3. Basic Structure of Vertex Algebras
4. Axioms and Fundamental Properties
5. Core Operations and Concepts
6. Fundamental Examples
7. Affine Vertex Algebras
8. Virasoro and Conformal Structure
9. Module Theory and Representations
10. Advanced Constructions
11. Intertwining Operators and Fusion
12. Zhu's Theory
13. Vertex Operator Superalgebras
14. Rationality and Finiteness
15. Moonshine and Connections
16. Computational Aspects
17. Applications and Related Areas
  1. Moonshine and Connections
    1. Monstrous Moonshine
      1. The Monster Group
        1. j-Invariant Expansions
          1. McKay-Thompson Series
            1. Moonshine Module V♮
            2. Generalized Moonshine
              1. Other Sporadic Groups
                1. Umbral Moonshine
                  1. Mock Modular Forms
                    1. Quantum Moonshine
                    2. Geometric Connections
                      1. Chiral Algebras
                        1. D-Modules
                          1. Geometric Langlands
                            1. Factorization Algebras
                            2. Number Theory Applications
                              1. Modular Forms
                                1. L-Functions
                                  1. Galois Representations
                                    1. Arithmetic Geometry

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                                  16. Computational Aspects

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