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LatticeHalfFockCollisionTaylor

Abstract

Original fractional collision numerator

Definition 1.1 (collisionTaylor).

Lean statement: D5/S3/VertexAlgebra/NestedResidues/LatticeHalfFockCollisionTaylor.collisionTaylor

Formalization. D5/S3/VertexAlgebra/NestedResidues/LatticeHalfFockCollisionTaylor.collisionTaylor (✓ std3).

Source. Repository-derived.

Acknowledgement. Bojko Bakalov and Victor G. Kac (2004). Twisted Modules over Lattice Vertex Algebras. DOI: 10.1142/9789812702562_0001. URL: https://arxiv.org/abs/math/0402315v1.

Commentary.

The Laurent exponents remain integers. The associated-coordinate cocycle is consumed by the finite left Taylor contraction; it does not identify an actual field product by itself.

Definition 1.2 (associatedTaylor).

Lean statement: D5/S3/VertexAlgebra/NestedResidues/LatticeHalfFockCollisionTaylor.associatedTaylor

Formalization. D5/S3/VertexAlgebra/NestedResidues/LatticeHalfFockCollisionTaylor.associatedTaylor (✓ std3).

Source. Repository-derived.

Acknowledgement. Bojko Bakalov and Victor G. Kac (2004). Twisted Modules over Lattice Vertex Algebras. DOI: 10.1142/9789812702562_0001. URL: https://arxiv.org/abs/math/0402315v1.

Commentary.

The Laurent exponents remain integers. The associated-coordinate cocycle is consumed by the finite left Taylor contraction; it does not identify an actual field product by itself.

Theorem 1.3 (associatedTaylor_cocycle).

Lean statement: D5/S3/VertexAlgebra/NestedResidues/LatticeHalfFockCollisionTaylor.associatedTaylor_cocycle

Proof. Machine-checked in Lean as D5/S3/VertexAlgebra/NestedResidues/LatticeHalfFockCollisionTaylor.associatedTaylor_cocycle (✓ std3). ∎

Source. Repository-derived.

Acknowledgement. Bojko Bakalov and Victor G. Kac (2004). Twisted Modules over Lattice Vertex Algebras. DOI: 10.1142/9789812702562_0001. URL: https://arxiv.org/abs/math/0402315v1.

Commentary.

The Laurent exponents remain integers. The associated-coordinate cocycle is consumed by the finite left Taylor contraction; it does not identify an actual field product by itself.

Definition 1.4 (fusedResidueWeight).

Lean statement: D5/S3/VertexAlgebra/NestedResidues/LatticeHalfFockCollisionTaylor.fusedResidueWeight

Formalization. D5/S3/VertexAlgebra/NestedResidues/LatticeHalfFockCollisionTaylor.fusedResidueWeight (✓ std3).

Source. Repository-derived.

Acknowledgement. Bojko Bakalov and Victor G. Kac (2004). Twisted Modules over Lattice Vertex Algebras. DOI: 10.1142/9789812702562_0001. URL: https://arxiv.org/abs/math/0402315v1.

Commentary.

The Laurent exponents remain integers. The associated-coordinate cocycle is consumed by the finite left Taylor contraction; it does not identify an actual field product by itself.

References