Pushforwards and Gauge Transformations for Categorical Connections
Differential Geometry
2020-12-16 v1 Mathematical Physics
math.MP
Abstract
We construct and study pushforwards of categorical connections on categorical principal bundles. Applying this construction to the case of decorated path spaces in principal bundles, we obtain a transformation of classical connections that combines the traditional gauge transformation with an affine translation.
Keywords
Cite
@article{arxiv.2012.08454,
title = {Pushforwards and Gauge Transformations for Categorical Connections},
author = {Saikat Chatterjee and Amitabha Lahiri and Ambar N. Sengupta},
journal= {arXiv preprint arXiv:2012.08454},
year = {2020}
}
Comments
32 pages