Poincaré-Birkhoff-Witt isomorphisms and Kapranov dg-manifolds
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Publication:2037600
DOI10.1016/j.aim.2021.107792zbMath1468.58004arXiv1408.2903OpenAlexW2288785104MaRDI QIDQ2037600
Camille Laurent-Gengoux, Ping Xu, Mathieu Stiénon
Publication date: 8 July 2021
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1408.2903
Lie algebroidsexponential mapshomotopy Lie algebrasKapranov dg-manifoldsPoincaré-Birkhoff-Witt isomorphisms
Topological groupoids (including differentiable and Lie groupoids) (22A22) Pseudogroups and differentiable groupoids (58H05)
Related Items
L∞-actions of Lie algebroids, Modular class of Lie \(\infty\)-algebroids and adjoint representations, Atiyah classes and Todd classes of pullback dg Lie algebroids associated with Lie pairs, Normal forms of \(\mathbb{Z}\)-graded \(Q\)-manifolds, Various instances of Harish-Chandra pairs, The strong homotopy structure of BRST reduction, From Atiyah classes to homotopy Leibniz algebras, The Atiyah class of a dg-vector bundle, Rozansky-Witten-type invariants from symplectic Lie pairs, Formality and Kontsevich-Duflo type theorems for Lie pairs, Lie-Rinehart algebras \(\simeq\) acyclic Lie \(\infty \)-algebroids, Polyvector fields and polydifferential operators associated with Lie pairs, Hochschild cohomology of dg manifolds associated to integrable distributions, Dg manifolds, formal exponential maps and homotopy Lie algebras
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