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Pushforwards and Gauge Transformations for Categorical Connections
Theory and applications of categories, Tome 38 (2022), pp. 1015-1049 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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We construct and establish results for a categorical counterpart of pushforwards of connections on principal bundles. This categorical pushforward takes as input a categorical connection A_P on a categorical bundle P and an appropriate functor S: P -> Q and outputs a categorical connection S_*A_P on the categorical bundle Q. Applying this construction to the case of categorical bundles arising from 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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Classification : Primary: 18D05, Secondary: 20C99
Keywords: Categorical Groups, Categorical geometry, Principal bundles, Gauge Theory 
@article{TAC_2022_38_a24,
     author = {Saikat Chatterjee and Amitabha Lahiri and Ambar N. Sengupta},
     title = {Pushforwards and  {Gauge} {Transformations} for {Categorical} {Connections}},
     journal = {Theory and applications of categories},
     pages = {1015--1049},
     year = {2022},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2022_38_a24/}
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Saikat Chatterjee; Amitabha Lahiri; Ambar N. Sengupta. Pushforwards and  Gauge Transformations for Categorical Connections. Theory and applications of categories, Tome 38 (2022), pp. 1015-1049. http://geodesic.mathdoc.fr/item/TAC_2022_38_a24/