Mathematics > Algebraic Geometry
arXiv:2603.30037 (math)
[Submitted on 31 Mar 2026 (v1), last revised 12 Jun 2026 (this version, v2)]
Abstract: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.
| Comments: | fixed typos, changed title and a few notations, added Lemma 5.12 |
| Subjects: | Algebraic Geometry (math.AG); Mathematical Physics (math-ph); Algebraic Topology (math.AT); Quantum Algebra (math.QA); Representation Theory (math.RT) |
| Cite as: | arXiv:2603.30037 [math.AG] |
| (or arXiv:2603.30037v2 [math.AG] for this version) | |
| https://doi.org/10.48550/arXiv.2603.30037 arXiv-issued DOI via DataCite |
Submission history
From: Elchanan Nafcha [view email]
[v1]
Tue, 31 Mar 2026 17:46:19 UTC (41 KB)
[v2]
Fri, 12 Jun 2026 00:02:31 UTC (41 KB)
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