Introduction to graded bundles
Differential Geometry
2016-05-12 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1605.03296,
title = {Introduction to graded bundles},
author = {Andrew J. Bruce and K. Grabowska and J. Grabowski},
journal= {arXiv preprint arXiv:1605.03296},
year = {2016}
}
Comments
11 pages, proceedings of the First International Conference of Differential Geometry, Fez (Morocco), April 11-15, 2016