Duality for graded manifolds

DOI10.1016/S0034-4877(17)30064-2zbMath1384.58006arXiv1610.01888MaRDI QIDQ1746063

Janusz Grabowski, Mikołaj Rotkiewicz, Michał Jóźwikowski

Publication date: 19 April 2018

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.01888

zbMATH Keywords

dualitygraded bundlehomogeneity structure\(N\)-manifoldZakrzewski morphism

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Supermanifolds and graded manifolds (58A50)

Related Items

Differential geometry of weightings ⋮ On the concept of a filtered bundle ⋮ Representations up to homotopy from weighted Lie algebroids

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A note on actions of some monoids
• Graded contact manifolds and contact Courant algebroids
• On the category of Lie \(n\)-algebroids
• On double vector bundles
• Graded bundles and homogeneity structures
• Higher vector bundles and multi-graded symplectic manifolds
• Graded bundles in the category of Lie groupoids
• Quantum and classical pseudogroups. II: Differential and symplectic pseudogroups
• Lie algebroids and Poisson-Nijenhuis structures
• Double Lie algebroids and second-order geometry. II
• Algebroids -- general differential calculi on vector bundles
• Bundle-theoretic methods for higher-order variational calculus
• Geometry of Lagrangian and Hamiltonian formalisms in the dynamics of strings
• Models for higher algebroids
• Duality for base-changing morphisms of vector bundles, modules, Lie algebroids and Poisson structures
• Double vector bundles and duality
• Higher order mechanics on graded bundles
• Variational calculus with constraints on general algebroids
• Linear duals of graded bundles and higher analogues of (Lie) algebroids