Constructs Teichmüller modular forms from holomorphic vertex operator algebras and applies them to connect VOA classification with the geometry of moduli spaces of curves.
Conformal Blocks: Vector bundle structures, Sewing, and Factorization
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abstract
This is an informal note on the complex-analytic approach to the theory of conformal blocks for rational VOAs. Its main body was completed in November 2020.
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math.QA 1years
2026 1verdicts
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Vertex operator algebras, partition functions and Teichm\"{u}ller modular forms
Constructs Teichmüller modular forms from holomorphic vertex operator algebras and applies them to connect VOA classification with the geometry of moduli spaces of curves.