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math.DG2024
On gauge theory and parallel transport in principal 2-bundles over Lie groupoids
Adittya Chaudhuri
We investigate an interplay between some ideas in traditional gauge theory and certain concepts in fibered categories. We accomplish this by introducing a notion of a principal Lie…
math.DG2023
Parallel transport on a Lie 2-group bundle over a Lie groupoid along Haefliger paths
Saikat Chatterjee, Adittya Chaudhuri
We prove a Lie 2-group torsor version of the well-known one-one correspondence between fibered categories and pseudofunctors. Consequently, we obtain a weak version of the principa…
math.DG2021★ 3 cited
Atiyah sequence and Gauge transformations of a principal -bundle over a Lie groupoid
Saikat Chatterjee, Adittya Chaudhuri, Praphulla Koushik
In this paper, a notion of a principal -bundle over a Lie groupoid has been introduced. For such principal -bundles, we produced a short exact sequence of VB-groupoids, namel…