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arXiv · 2603.30037

Nodal degeneration of chiral algebras I: Global structure and gluing formula

Elchanan Nafcha
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Abstract

We define a natural extension of a universal factorization algebra $\mathcal{A}$ to families of stable punctured curves, by integrating over all semistable modifications. We prove that the resulting sheaf of factorization homology satisfies a natural gluing formula, by tensoring over a certain derived associative algebra $\mathfrak{Z}_{\mathcal{A}}^0$, generalizing the Verlinde formula for gluing of conformal blocks.

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BibTeXRIS

Elchanan Nafcha. 2026-09-18. Nodal degeneration of chiral algebras I: Global structure and gluing formula. https://arxiv.org/abs/2603.30037

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