Courant algebroids. A short history

DOI10.3842/SIGMA.2013.014zbMath1268.01019arXiv1212.0559OpenAlexW2112730731MaRDI QIDQ352471

Yvette Kosmann-Schwarzbach

Publication date: 4 July 2013

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.0559

zbMATH Keywords

Courant algebroidLie bialgebroidLie algebroidLeibniz algebraderived bracketgeneralized geometryDirac structuredorfman bracketloday algebra

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Development of contemporary mathematics (01A65) Poisson manifolds; Poisson groupoids and algebroids (53D17) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Lie bialgebras; Lie coalgebras (17B62) History of differential geometry (53-03) Topological groupoids (including differentiable and Lie groupoids) (22A22)

Related Items (17)

From Leibniz algebras to Lie 2-algebras ⋮ Dissections and automorphisms of regular Courant algebroids ⋮ The Pontryagin class for pre-Courant algebroids ⋮ Glanon groupoids ⋮ Dorfman connections and Courant algebroids ⋮ The first Pontryagin class of a quadratic Lie 2-algebroid ⋮ Pre-Courant algebroids ⋮ Omni-Representations of Leibniz Algebras ⋮ Courant-Dorfman algebras of differential operators and Dorfman connections of Courant algebroids ⋮ Omni n-Lie algebras and linearization of higher analogues of Courant algebroids ⋮ Unnamed Item ⋮ Dirac structures in nonequilibrium thermodynamics for simple open systems ⋮ Graded manifolds of type \(\Delta\) and \(n\)-fold vector bundles ⋮ Homotopy Poisson algebras, Maurer-Cartan elements and Dirac structures of CLWX 2-algebroids ⋮ Linearization of the higher analogue of Courant algebroids ⋮ Hitchhiker's guide to Courant algebroid relations ⋮ The standard cohomology of regular Courant algebroids

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