The geometrization of \(\mathbb{N}\)-manifolds of degree 2

DOI10.1016/J.GEOMPHYS.2018.07.007zbMath1402.58004arXiv1707.06798OpenAlexW2739059498MaRDI QIDQ1788804

Yanyan Li

Publication date: 8 October 2018

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.06798

zbMATH Keywords

graded manifoldslinear Poisson structuresdouble vector bundlesrepresentations up to homotopy

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Supermanifolds and graded manifolds (58A50) Linear and affine connections (53B05)

Related Items (10)

A geometrisation of \(\mathbb{N}\)-manifolds ⋮ Categorification of \(\mathsf{VB}\)-Lie algebroids and \(\mathsf{VB}\)-Courant algebroids ⋮ Modules and representations up to homotopy of Lie \(n\)-algebroids ⋮ Double principal bundles ⋮ On LA-Courant algebroids and Poisson Lie 2-algebroids ⋮ Multiple vector bundles: cores, splittings and decompositions ⋮ Homotopy Poisson algebras, Maurer-Cartan elements and Dirac structures of CLWX 2-algebroids ⋮ Lie 2-algebroids and matched pairs of 2-representations: a geometric approach ⋮ Algebroids, AKSZ constructions and doubled geometry ⋮ The standard cohomology of regular Courant algebroids

Cites Work

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• On the category of Lie \(n\)-algebroids
• Double Lie algebroids and representations up to homotopy
• Higher vector bundles and multi-graded symplectic manifolds
• Lie algebroid structures on double vector bundles and representation theory of Lie algebroids
• Superconnections and the Chern character
• Double Lie algebroids and second-order geometry. I
• Lie bialgebroids and Poisson groupoids
• Dorfman connections and Courant algebroids
• \(\mathcal{VB}\)-algebroid morphisms and representations up to homotopy
• Ehresmann doubles and Drinfel'd doubles for Lie algebroids and Lie bialgebroids
• Representations up to homotopy of Lie algebroids
• Differential Analysis on Complex Manifolds
• Two Approaches to Supermanifolds
• ON SYMPLECTIC DOUBLE GROUPOIDS AND THE DUALITY OF POISSON GROUPOIDS
• Linear duals of graded bundles and higher analogues of (Lie) algebroids

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