Quotients of double vector bundles and multigraded bundles

DOI10.3934/jgm.2021027zbMath1503.53150arXiv2104.01733OpenAlexW3208305847MaRDI QIDQ2161918

Eckhard Meinrenken

Publication date: 5 August 2022

Published in: Journal of Geometric Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.01733

zbMATH Keywords

double vector bundlesweightingsclean intersectionsdouble structuresgraded bundles

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Generalizations of fiber spaces and bundles in algebraic topology (55R65) Connections (general theory) (53C05)

Cites Work

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• Quantization on nilpotent Lie groups
• On double vector bundles
• Graded bundles and homogeneity structures
• Higher vector bundles and multi-graded symplectic manifolds
• Duality functors for triple vector bundles
• Lie algebroid structures on double vector bundles and representation theory of Lie algebroids
• Double Lie algebroids and second-order geometry. I
• Lie bialgebroids and Poisson groupoids
• \(\mathcal{VB}\)-groupoids and representation theory of Lie groupoids
• Warps, grids and curvature in triple vector bundles
• Euler-like vector fields, normal forms, and isotropic embeddings
• 1-forms with the exterior derivative of maximal rank
• The Weil Algebra of a Double Lie Algebroid
• Multiple vector bundles: cores, splittings and decompositions
• Liftings of Tensor Fields and Connections to Tangent Bundles of Higher Order