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arXiv · 1708.03174

Higher-Order Analogs of Lie Algebroids via Vector Bundle Comorphisms

Michał Jóźwikowski·Mikołaj Rotkiewicz
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Abstract

We introduce the concept of a higher algebroid, generalizing the notions of an algebroid and a higher tangent bundle. Our ideas are based on a description of (Lie) algebroids as vector bundle comorphisms - differential relations of a special kind. In our approach higher algebroids are vector bundle comorphism between graded-linear bundles satisfying natural axioms. We provide natural examples and discuss applications in geometric mechanics.

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Michał Jóźwikowski, Mikołaj Rotkiewicz. 2018-12-29. Higher-Order Analogs of Lie Algebroids via Vector Bundle Comorphisms. https://doi.org/10.3842/sigma.2018.135

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