On gauge theory and parallel transport in principal 2-bundles over Lie groupoids

A Chaudhuri - arXiv preprint arXiv:2411.00814, 2024 - arxiv.org
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 …

Geometric structures on Lie groupoids and differentiable stacks

P Koushik - arXiv preprint arXiv:2112.13472, 2021 - arxiv.org
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 …

Extension of Topological Groupoids and Hurewicz Morphisms

S Chatterjee, P Koushik - Applied Categorical Structures, 2023 - Springer
Extension of Topological Groupoids and Hurewicz Morphisms | Applied Categorical
Structures Skip to main content SpringerLink Account Menu Find a journal Publish with us …

Connections on Lie groupoids and Chern–Weil theory

I Biswas, S Chatterjee, P Koushik… - … in Mathematical Physics, 2024 - World Scientific
Let 𝕏=[X 1⇉ X 0] be a Lie groupoid equipped with a connection, given by a smooth
distribution ℋ⊂ TX 1 transversal to the fibers of the source map. Under the assumption that …

Notes on complex analytic stacks

A Boivin - 2023 - hal.science
Notes on complex analytic stacks Page 1 HAL Id: hal-04148188 https://hal.science/hal-04148188
Preprint submitted on 2 Jul 2023 HAL is a multi-disciplinary open access archive for the deposit …

[PDF][PDF] a review of Extension of topological groupoids and Hurewicz morphisms by Chatterjee, Saikat; Koushik, Praphulla

西村泰一, ニシムラヒロカズ - zbMATH Open, 2023 - tsukuba.repo.nii.ac.jp
Chatterjee, Saikat ; Koushik, Praphulla Extension of topological groupoids and Hurewicz
morphisms. (English) £ ¢ ¡ Zbl 07739 Page 1 Chatterjee, Saikat; Koushik, Praphulla Extension …