Graded jet geometry (Q6596120)

The aim of the paper is to generalize jet geometry to \(\mathbb Z\)-graded bundles. In particular, the author constructs the \(k\)-th order jet bundle of an arbitrary \(\mathbb Z\)-graded vector bundle \(\mathcal E\) over an arbitrary \(\mathbb Z\)-graded manifold \(\mathcal M\). The construction is based on the description of graded bundles in terms of sheaves of sections.