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math.DG2020
Pushforwards and Gauge Transformations for Categorical Connections
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 bundle…
math.DG2020
Connections on Lie groupoids and Chern-Weil theory
Indranil Biswas, Saikat Chatterjee, Praphulla Koushik +1
Let be a Lie groupoid equipped with a connection, given by a smooth distribution transversal to the fibers of th…
math.DG2020★ 2 cited
Atiyah sequences and connections on principal bundles over differentiable stacks
Indranil Biswas, Saikat Chatterjee, Praphulla Koushik +1
We construct and study general connections on Lie groupoids and differentiable stacks as well as on principal bundles over them using Atiyah sequences associated to transversal tan…