Výsledky vyhledávání - "Koushik, Praphulla"

Report

Geometric structures on Lie groupoids and differentiable stacks

Autor: Koushik, Praphulla

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, arXiv:2012.08442, arXiv:1907.00375]. In [arXiv:1907.00375], we have d

Externí odkaz: http://arxiv.org/abs/2112.13472

Zobrazit plný text záznamu

Report

Atiyah sequence and Gauge transformations of a principal $2$-bundle over a Lie groupoid

Autor: Chatterjee, Saikat, Chaudhuri, Adittya, Koushik, Praphulla

Publikováno v: 2022

In this paper, a notion of a principal $2$-bundle over a Lie groupoid has been introduced. For such principal $2$-bundles, we produced a short exact sequence of VB-groupoids, namely, the Atiyah sequence. Two notions of connection structures viz. stri

Externí odkaz: http://arxiv.org/abs/2107.13747

Zobrazit plný text záznamu

Report

Extension of topological groupoids and Serre, Hurewicz morphisms

Autor: Chatterjee, Saikat, Koushik, Praphulla

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 properties of a gerbe over a Serre, Hurewicz stack.

Externí odkaz: http://arxiv.org/abs/2103.04560

Zobrazit plný text záznamu

Report

Connections on Lie groupoids and Chern-Weil theory

Autor: Biswas, Indranil, Chatterjee, Saikat, Koushik, Praphulla, Neumann, Frank

Let $\mathbb{X}=[X_1\rightrightarrows X_0]$ be a Lie groupoid equipped with a connection, given by a smooth distribution $\mathcal{H} \subset T X_1$ transversal to the fibers of the source map. Under the assumption that the distribution $\mathcal{H}$

Externí odkaz: http://arxiv.org/abs/2012.08447

Zobrazit plný text záznamu

Report

Atiyah sequences and connections on principal bundles over differentiable stacks

Autor: Biswas, Indranil, Chatterjee, Saikat, Koushik, Praphulla, Neumann, Frank

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 tangential distributions.
Comment: To appear in Journal of Noncommut

Externí odkaz: http://arxiv.org/abs/2012.08442

Zobrazit plný text záznamu

Report

On two notions of a Gerbe over a stack

Autor: Koushik, Praphulla, Chatterjee, Saikat

Let $\mathcal{G}$ be a Lie groupoid. The category $B\mathcal{G}$ of principal $\mathcal{G}$-bundles defines a differentiable stack. On the other hand, given a differentiable stack $\mathcal{D}$, there exists a Lie groupoid $\mathcal{H}$ such that $B\

Externí odkaz: http://arxiv.org/abs/1907.00375

Zobrazit plný text záznamu