From \(L_{\infty }\)-algebroids to higher Schouten/Poisson structures

DOI10.1016/S0034-4877(11)00010-3zbMath1237.53077arXiv1007.1389OpenAlexW3121608491MaRDI QIDQ410688

Andrew James Bruce

Publication date: 3 April 2012

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.1389

zbMATH Keywords

Lie algebroidsPoisson structuresgraded manifoldsLie super algebrasL\(_\infty \)-algebroidsSchouten structures

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Supermanifolds and graded manifolds (58A50)

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Strong homotopy Lie algebras, homotopy Poisson manifolds and Courant algebroids ⋮ On the strong homotopy Lie–Rinehart algebra of a foliation ⋮ Homological sections of Lie algebroids ⋮ Shifted derived Poisson manifolds associated with Lie pairs ⋮ Quantization of \((-1)\)-shifted derived Poisson manifolds ⋮ Representations of Homotopy Lie–Rinehart Algebras ⋮ Keller admissible triples and Duflo theorem ⋮ Veronese powers of operads and pure homotopy algebras ⋮ Poisson color algebras of arbitrary degree ⋮ Linear duals of graded bundles and higher analogues of (Lie) algebroids ⋮ Higher nonabelian omni-Lie algebroids ⋮ Homotopy Poisson algebras, Maurer-Cartan elements and Dirac structures of CLWX 2-algebroids ⋮ Kirillov structures up to homotopy ⋮ Deformation spaces and normal forms around transversals ⋮ On the strong homotopy associative algebra of a foliation ⋮ Dg manifolds, formal exponential maps and homotopy Lie algebras

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