Foliated groupoids and infinitesimal ideal systems

DOI10.1016/j.indag.2014.07.009zbMath1393.58014OpenAlexW2038065921MaRDI QIDQ743983

D. Kharzeev

Publication date: 2 October 2014

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2014.07.009

zbMATH Keywords

idealsBott connectionlinear connectionsLie algebroids and Lie groupoidsmultiplicative geometric structures

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) Pseudogroups and differentiable groupoids (58H05)

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A Serre-Swan theorem for coisotropic algebras ⋮ Homogeneous spaces of Dirac groupoids ⋮ Multiplicative connections and their Lie theory ⋮ Quotients of multiplicative forms and Poisson reduction ⋮ Polarisation of graded bundles ⋮ Dorfman connections and Courant algebroids ⋮ Multiplicative Ehresmann connections ⋮ Cosymplectic groupoids ⋮ Modules and representations up to homotopy of Lie \(n\)-algebroids ⋮ Vector bundles over Lie groupoids and algebroids ⋮ Affine structures on Lie groupoids ⋮ Infinitesimal Automorphisms of VB-Groupoids and Algebroids ⋮ Differential forms with values in VB-groupoids and its Morita invariance ⋮ Lie groupoids and the Frölicher-Nijenhuis bracket ⋮ Multiple vector bundles: cores, splittings and decompositions ⋮ Double Lie algebroids and representations up to homotopy ⋮ Local and global integrability of Lie brackets ⋮ Transitive double Lie algebroids via core diagrams ⋮ Atiyah classes and Kontsevich–Duflo type theorem for dg manifolds ⋮ Lie theory of multiplicative tensors ⋮ Multiplicative forms and Spencer operators ⋮ \(\mathcal{VB}\)-algebroid morphisms and representations up to homotopy

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