MC elements in pronilpotent DG Lie algebras

DOI10.1016/j.jpaa.2012.03.002zbMath1260.53144arXiv1103.1035OpenAlexW1979736084WikidataQ115345493 ScholiaQ115345493MaRDI QIDQ1936106

Amnon Yekutieli

Publication date: 21 February 2013

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.1035

zbMATH Keywords

differential graded Lie algebraDeligne groupoidsL-infinity quasi-isomorphismpronilpotent Lie algebras

Mathematics Subject Classification ID

Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Deformation quantization, star products (53D55) Infinitesimal methods in algebraic geometry (14B10)

Related Items (11)

Deformations of overconvergent isocrystals on the projective line ⋮ Deformations of affine varieties and the Deligne crossed groupoid ⋮ A model structure for the Goldman-Millson theorem ⋮ Unnamed Item ⋮ Twisted deformation quantization of algebraic varieties ⋮ Combinatorial descent data for gerbes ⋮ Representing the deformation \(\infty\)-groupoid ⋮ \(L_{\infty}\)-structure on Bardzell's complex for monomial algebras ⋮ A version of the Goldman-Millson theorem for filtered \(L_\infty\)-algebras ⋮ Higher descent data as a homotopy limit ⋮ The derived deformation theory of a point

Cites Work

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• Continuous and twisted \(L_{\infty}\) morphisms
• Central extensions of gerbes
• Groupoids and crossed objects in algebraic topology
• A Darboux theorem for Hamiltonian operators in the formal calculus of variations.
• Deformation quantization of Poisson manifolds
• Corrigendum to ``Deformation quantization in algebraic geometry [Adv. Math. 198, 383--432 (2005; Zbl 1085.53081)]
• Rational homotopy theory
• Twisted Deformation Quantization of Algebraic Varieties (Survey)
• On Flatness and Completion for Infinitely Generated Modules over Noetherian Rings
• The deformation theory of representations of fundamental groups of compact Kähler manifolds
• DG coalgebras as formal stacks

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