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    "contributor_name": "ChenqiMeng",
    "base_hash": "405c1131e2fd237b4b542ec2a125a47910237386fa364d1bef8b9e2e2c4293a9",
    "title": "Introduction to Vertex Operator Algebras",
    "authors": "Chenqi Meng",
    "abstract": "These developing notes introduce vertex operator algebras, assuming familiarity with formal calculus. The current substantive chapter derives creation, translation, skew-symmetry, product and iterate expansions, weak associativity, and the Jacobi identity from the locality axioms of a vertex algebra. The remaining chapters outline conformal structures, chiral correlation functions, modules and intertwining operators, vertex tensor categories, extensions, and quantum Galois theory.",
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    "explanation": "Make introduction more precise.",
    "submitted_at": "2026-10-22T09:59:25.212700+00:00",
    "primary_category": "math.QA",
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    "license": "CC0-1.0",
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      "version": "2026-10-19",
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      "accepted_at": "2026-10-19T07:28:05.223110+00:00",
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        "id": "about-this-note",
        "title": "About this note",
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        "id": "vertex-algebras",
        "title": "Vertex algebras: definitions and properties",
        "markdown_sha256": "5ec3e1c62e702864594c560deb3e58daf016b3f8e6475d956569a16611c8ae94"
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        "id": "vertex-operator-algebras",
        "title": "Vertex operator algebras",
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        "title": "Vertex tensor categories",
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        "title": "Extensions and quantum Galois theory",
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