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Introduction to graded bundles


Abstract


We review the concept of a graded bundle as a natural generalisation of a vector bundle. Such geometries are particularly nice examples of more general graded manifolds. With hindsight there are many examples of graded bundles that appear in the existing literature. We start with a discussion of graded spaces, passing through graded bundles and their linearisation to end with weighted (graded) Lie groupoids/algebroids.

DOI Code: 10.1285/i15900932v37suppl1p59

Keywords: graded manifolds; graded bundles; homogeneity structures; monoid actions; Lie theory

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