Nodal degeneration of chiral algebras

Fuente: arXiv
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Main Author: Nafcha, Elchanan
Format: Preprint
Published: 2026
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author Nafcha, Elchanan
author_facet Nafcha, Elchanan
contents Given a family of stable curves, we define a sheaf of factorization algebras associated to any universal factorization algebra, and prove a gluing formula for the corresponding sheaf of chiral homology, generalizing the sheaves of vertex algebras and the associated Verlinde formula for gluing of conformal blocks.
format Preprint
id arxiv_https___arxiv_org_abs_2603_30037
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Nodal degeneration of chiral algebras
Nafcha, Elchanan
Algebraic Geometry
Mathematical Physics
Algebraic Topology
Quantum Algebra
Representation Theory
Given a family of stable curves, we define a sheaf of factorization algebras associated to any universal factorization algebra, and prove a gluing formula for the corresponding sheaf of chiral homology, generalizing the sheaves of vertex algebras and the associated Verlinde formula for gluing of conformal blocks.
title Nodal degeneration of chiral algebras
topic Algebraic Geometry
Mathematical Physics
Algebraic Topology
Quantum Algebra
Representation Theory
url https://arxiv.org/abs/2603.30037