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Operadic Deformation Theory

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arxiv 2307.11187 v2 pith:3RTWQ4HF submitted 2023-07-20 math.AT math.QA

Ricardo Campos , Albin Grataloup This is my paper · ORCID
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This is a survey on recent progress in algebraic deformation theory and the application of algebraic operads to its study. We review the classical homotopical tools in the theory of algebraic operads, namely Koszul duality. We give concrete examples of applications of such tools to various flavours of problems related to deformations of algebraic structures. We also study formal moduli problems and related notions from the operadic point of view.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Higher Chiral Algebras in a Polysimplicial Model

    math.QA 2025-06 conditional novelty 8.0 of 10

    The polysimplicial model makes the shifted canonical sheaf on A^n into a homotopy chiral algebra, with the Lie-infinity operad quasi-isomorphic to the operad of chiral operations.

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