2020/12/15 by S. Chatterjee, Saikat Chatterjee, Amitabha Lahiri +4
Engineering · Mathematics · Physics and Astronomy · Social Sciences · #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Mathematics Education and Teaching Techniques #Primary: 18D05 #Secondary: 20C99 #Spatial Cognition and Navigation #math-ph #math.DG #math.MP #msc:18D05 #msc:20C99
paper · pdf · doi:10.48550/arxiv.2012.08454
32 pages
arxiv created 2020/12/15 · openalex publication_date 2020/12/15 · arxiv updated 2020/12/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.