TL;DR
This paper explores the theory of bundle functors and star-bundle functors in differential geometry using fibered categories and their duals, providing a categorical perspective on these geometric concepts.
Contribution
It introduces a categorical framework for understanding bundle functors and their duals in differential geometry, connecting fibered categories with geometric structures.
Findings
Categorical description of bundle functors
Use of fibered categories and duals in differential geometry
New insights into the structure of star-bundle functors
Abstract
We give an account, in terms of fibered categories and their fibrewise duals, of aspects of the theory of bundle functors and star-bundle functors in differential geometry.
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