On the strong homotopy associative algebra of a foliation

DOI10.1142/S0219199714500266zbMath1316.53025arXiv1212.1090MaRDI QIDQ5245049

Luca Vitagliano

Publication date: 1 April 2015

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.1090

zbMATH Keywords

universal enveloping algebrasfoliationsrings of differential operatorshomotopy algebrascharacteristic cohomology

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) Rings of differential operators (associative algebraic aspects) (16S32) Universal enveloping algebras of Lie algebras (16S30)

Related Items (13)

Shifted derived Poisson manifolds associated with Lie pairs ⋮ Vinogradov’s cohomological geometry of partial differential equations ⋮ Quantization of \((-1)\)-shifted derived Poisson manifolds ⋮ Representations of Homotopy Lie–Rinehart Algebras ⋮ From Atiyah classes to homotopy Leibniz algebras ⋮ Keller admissible triples and Duflo theorem ⋮ Hopf algebras arising from dg manifolds ⋮ Poincaré-Birkhoff-Witt isomorphisms and Kapranov dg-manifolds ⋮ Lie-Rinehart algebras \(\simeq\) acyclic Lie \(\infty \)-algebroids ⋮ Atiyah classes and Kontsevich–Duflo type theorem for dg manifolds ⋮ 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

Cites Work

• Unnamed Item
• On the category of Lie \(n\)-algebroids
• From \(L_{\infty }\)-algebroids to higher Schouten/Poisson structures
• Twisted differential string and fivebrane structures
• The \({\mathcal C}\)-spectral sequence, Lagrangian formalism, and conservation laws. I: The linear theory
• The \({\mathcal C}\)-spectral sequence, Lagrangian formalism, and conservation laws. II: The nonlinear theory
• Relative formality theorem and quantisation of coisotropic submanifolds
• Deformations of Lie brackets: Cohomological aspects
• A universal enveloping for \(L_\infty\)-algebras.
• Pseudodifferential operators on differential groupoids
• Introduction to sh Lie algebras for physicists
• Exponential map and \(L_{\infty}\) algebra associated to a Lie pair
• Secondary calculus and the covariant phase space
• Strongly homotopy lie algebras
• On the universal enveloping algebra of a Lie algebroid
• The geometry of immersions. I
• Homotopy Rinehart cohomology of homotopy Lie-Rinehart pairs

This page was built for publication: On the strong homotopy associative algebra of a foliation