Operadic Deformation Theory
Algebraic Topology
2024-01-19 v2 Quantum Algebra
Abstract
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.
Cite
@article{arxiv.2307.11187,
title = {Operadic Deformation Theory},
author = {Ricardo Campos and Albin Grataloup},
journal= {arXiv preprint arXiv:2307.11187},
year = {2024}
}
Comments
98 pages