Formal deformation theory in left-proper model categories

zbMath1433.18012arXiv1802.06707MaRDI QIDQ2280160

Francesco Meazzini, Marco Manetti

Publication date: 18 December 2019

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.06707

zbMATH Keywords

differential graded algebrasdeformation theorymodel categoriesMaurer-Cartan elementsdifferential graded Lie algebracofibrant replacementMaurer-Cartan equationsdeformation problemMaurer-Cartan modulus gauge actionPalamodov resolventprojective model structureTate-Quillen resolution

Mathematics Subject Classification ID

Chain complexes (category-theoretic aspects), dg categories (18G35) Formal methods and deformations in algebraic geometry (14D15) Homotopical algebra, Quillen model categories, derivators (18N40) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08) Stable module categories (18G65)

Related Items (3)

On Deformations of Diagrams of Commutative Algebras ⋮ Deformations of algebraic schemes via Reedy-Palamodov cofibrant resolutions ⋮ Hyper-holomorphic connections on vector bundles on hyper-Kähler manifolds

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