Pushforwards and Gauge Transformations for Categorical Connections

15 Dec 2020 · Saikat Chatterjee, Amitabha Lahiri, Ambar N. Sengupta ·

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.