XXXVI Workshop on Geometric Methods in Physics 2-8.07.2017
VI School on Geometry and Physics 26-30.06.2017

Mikołaj Rotkewicz

Higher algebroids via differential relations

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

Event sponsored by:
Centre de recherches mathématiques          University
of Bialystok
University of Bialystok

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