Homotopy prefactorization algebras
type: Item
instance of: scholarly article
title: Homotopy prefactorization algebras
zbMATH Open document ID: 1542.18015
author: Najib Idrissi
author: Eugene Rabinovich
published in: Research in the Mathematical Sciences
publication date: 2024-07-03T00:00:00Z
review text: Some general theory of (pre)factorization algebras can be found in [\textit{K. Costello} and \textit{O. Gwilliam}, Factorization algebras in quantum field theory. Volume 1. Cambridge: Cambridge University Press (2016; Zbl 1377.81004)]. The goal of the paper under review is to show that the (coloured) operad governing prefactorization algebras is the composition of the operad governing cosheaves and the operad governing certain coloured commutative algebras. Both factors are shown to be Koszul operads, while the distributive law between them satisfies the appropriate diamond lemma for the composite also to have the Koszul property. An explicit description of the Koszul dual (and thus of a resolution) is described.
reviewed by: Ross H. Street
Mathematics Subject Classification ID: 18M70
Mathematics Subject Classification ID: 81T70
Mathematics Subject Classification ID: 57N65
zbMATH DE Number: 7875603
zbMATH Keywords: inhomogeneous Koszul duality
zbMATH Keywords: colored operads
zbMATH Keywords: factorization algebras
MaRDI profile type: Publication
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DOI: 10.1007/S40687-024-00456-9
description: scientific article; zbMATH DE number 7875603