Polarisation of graded bundles

DOI10.3842/SIGMA.2016.106zbMath1359.58003arXiv1512.02345OpenAlexW2547078938MaRDI QIDQ338181

Andrew James Bruce, Mikołaj Rotkiewicz, Janusz Grabowski

Publication date: 4 November 2016

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

Full work available at URL: https://arxiv.org/abs/1512.02345

zbMATH Keywords

supermanifoldsgraded manifolds\(k\)-fold vector bundles\(N\)-manifoldspolarisation

Mathematics Subject Classification ID

Supermanifolds and graded manifolds (58A50) Natural bundles (58A32)

Related Items (7)

A geometrisation of \(\mathbb{N}\)-manifolds ⋮ On the concept of a filtered bundle ⋮ Connections adapted to non-negatively graded structures ⋮ Graded manifolds of type \(\Delta\) and \(n\)-fold vector bundles ⋮ Higher-order analogs of Lie algebroids via vector bundle comorphisms ⋮ Remarks on contact and Jacobi geometry ⋮ Introduction to graded bundles

Cites Work

• Unnamed Item
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• Unnamed Item
• A note on actions of some monoids
• Splitting theorem for \(\mathbb{Z}_2^n\)-supermanifolds
• Graded contact manifolds and contact Courant algebroids
• On the category of Lie \(n\)-algebroids
• On double vector bundles
• Graded bundles and homogeneity structures
• Foliated groupoids and infinitesimal ideal systems
• \(s\)-tangent manifolds of higher order
• Higher vector bundles and multi-graded symplectic manifolds
• Duality functors for triple vector bundles
• Graded bundles in the category of Lie groupoids
• Lie bialgebroids and Poisson groupoids
• \(Q\)-manifolds and Mackenzie theory
• The Structure of Supermanifolds
• The category of Z2n-supermanifolds
• Tangent lifts of Poisson and related structures
• $Q$-manifolds and Higher Analogs of Lie Algebroids
• Double vector bundles and duality
• Higher order mechanics on graded bundles
• A general construction of Weil functors
• Liftings of Tensor Fields and Connections to Tangent Bundles of Higher Order
• Infinite-Dimensional and Colored Supermanifolds
• Linear duals of graded bundles and higher analogues of (Lie) algebroids

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