3 citations · 7 across the 6 of their papers we have counts for
6 papers
Geometric structures on Lie groupoids and differentiable stacks
Praphulla Koushik
In this PhD thesis, we have studied certain geometric structures over Lie groupoids and differentiable stacks. This thesis is based on the work [arXiv:2103.04560, arXiv:2012.08447,…
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…
Extension of topological groupoids and Serre, Hurewicz morphisms
Saikat Chatterjee, Praphulla Koushik
In this paper, we introduce the notion of a topological groupoid extension and relate it to the already existing notion of a gerbe over a topological stack. We further study the pr…
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…