Vertex Algebras
OPE Definition
Singular Parts
Regular Parts
Pole Structure
Residue Calculations
OPE Coefficients
n-th Products
Product Formulas
Calculation Methods
Associativity Properties
Definition and Motivation
Normal Ordered Products
Wick's Theorem
Contraction Rules
Applications to Free Fields
Mode Commutators
Field Commutators
Dong's Lemma
Skew-Symmetry
Borcherds Identity
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4. Axioms and Fundamental Properties
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6. Fundamental Examples