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arXiv · 2012.08454

Pushforwards and Gauge Transformations for Categorical Connections

Saikat Chatterjee·Amitabha Lahiri·Ambar N. Sengupta
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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.

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Saikat Chatterjee, Amitabha Lahiri, Ambar N. Sengupta. 2020-12-15. Pushforwards and Gauge Transformations for Categorical Connections. https://arxiv.org/abs/2012.08454

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