18 citations · 50 across the 21 of their papers we have counts for
10 papers · 1 filter
Connections on a principal Lie groupoid bundle and representations up to homotopy
Saikat Chatterjee, Naga Arjun S J
A Lie groupoid principal $\mbbX$ bundle is a surjective submersion with an action of on with certain additional conditions. This paper offers a su…
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…
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…
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…
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…
On two notions of a Gerbe over a stack
Praphulla Koushik, Saikat Chatterjee
Let be a Lie groupoid. The category of principal -bundles defines a differentiable stack. On the other hand, given a differentiable stack…