Higher extensions of Lie algebroids

DOI10.1142/S0219199716500346zbMath1419.58015arXiv1103.5920OpenAlexW3101877175MaRDI QIDQ2981872

Chenchang Zhu, Yun He Sheng

Publication date: 10 May 2017

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

Full work available at URL: https://arxiv.org/abs/1103.5920

zbMATH Keywords

integrationCourant algebroidsrepresentation up to homotopyLie 2-groupoidsLie 2-algebroids

Mathematics Subject Classification ID

Homological methods in Lie (super)algebras (17B55) Pseudogroups and differentiable groupoids (58H05) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)

Related Items (24)

Cohomologies and crossed modules for pre-Lie Rinehart algebras ⋮ Extensions and crossed modules of \(n\)-Lie-Rinehart algebras ⋮ L∞-actions of Lie algebroids ⋮ Strong homotopy Lie algebras, homotopy Poisson manifolds and Courant algebroids ⋮ The first Pontryagin class of a quadratic Lie 2-algebroid ⋮ Shifted derived Poisson manifolds associated with Lie pairs ⋮ Extended Riemannian geometry. I: Local double field theory ⋮ Non-abelian extensions of Lie 2-algebras ⋮ Shifted symplectic higher Lie groupoids and classifying spaces ⋮ Graded Lie-Rinehart algebras ⋮ Quantization of \((-1)\)-shifted derived Poisson manifolds ⋮ Categorification of \(\mathsf{VB}\)-Lie algebroids and \(\mathsf{VB}\)-Courant algebroids ⋮ Modules and representations up to homotopy of Lie \(n\)-algebroids ⋮ The geometry of graded cotangent bundles ⋮ Higher algebra over the Leibniz operad ⋮ On LA-Courant algebroids and Poisson Lie 2-algebroids ⋮ Homotopy Poisson algebras, Maurer-Cartan elements and Dirac structures of CLWX 2-algebroids ⋮ Deformation spaces and normal forms around transversals ⋮ Lie rackoids integrating Courant algebroids ⋮ Lie 2-algebroids and matched pairs of 2-representations: a geometric approach ⋮ Atiyah classes and Kontsevich–Duflo type theorem for dg manifolds ⋮ On Lie bialgebroid crossed modules ⋮ Homotopical algebra for Lie algebroids ⋮ Global aspects of doubled geometry and pre-rackoid

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