Raviolo vertex algebras, cochains and conformal blocks

Luigi Alfonsi; Hyungrok Kim; Charles Young

doi:10.1093/imrn/rnaf004

Raviolo vertex algebras, cochains and conformal blocks

Luigi Alfonsi, Hyungrok Kim, Charles Young

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Abstract

Raviolo vertex algebras were introduced recently by Garner and Williams. Working at the level of cochain complexes, in the present paper we construct spaces of conformal blocks, or more precisely their duals, coinvariants, in the raviolo setting. We prove that the raviolo state-field map correctly captures the limiting behaviour of coinvariants as marked points collide.

Original language	English
Article number	rnaf004
Pages (from-to)	1-42
Number of pages	42
Journal	International Mathematical Research Notices
Volume	2025
Early online date	8 Feb 2025
DOIs	https://doi.org/10.1093/imrn/rnaf004
Publication status	Published - 28 Feb 2025

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© 2025 The Author(s). Published by Oxford University Press. This is an open access article distributed under the Creative Commons Attribution License (CC BY), https://creativecommons.org/licenses/by/4.0/
Final published version, 2.02 MBLicence: CC BY

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Raviolo vertex algebras, cochains and conformal blocks

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