Construction of Categorical Bundles from Local Data

Abstract

A categorical principal bundle is a structure comprised of categories that is analogous to a classical principal bundle; examples arise from geometric contexts involving bundles over path spaces. We show how a categorical principal bundle can be constructed from local data specified through transition functors and natural transformations.

27 pages

Cited by in corpus (1)

• Atiyah sequence and Gauge transformations of a principal $2$-bundle over a Lie groupoid