3 citations · 4 across the 5 of their papers we have counts for
5 papers
Motifs and Emergent Feedback in Labeled Graphs
John C. Baez, Adittya Chaudhuri
In fields ranging from business to systems biology, directed graphs with edges labeled by signs are used to model systems in a simple way: the nodes represent entities of some sort…
On gauge theory and parallel transport in principal 2-bundles over Lie groupoids
Adittya Chaudhuri
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…
A mathematical framework to study organising principles in graphical representations of biochemical processes
Adittya Chaudhuri, Ralf Köhl, Olaf Wolkenhauer
The complexity of molecular and cellular processes forces experimental studies to focus on subsystems. To study the functioning of biological systems across levels of structural an…
Parallel transport on a Lie 2-group bundle over a Lie groupoid along Haefliger paths
Saikat Chatterjee, Adittya Chaudhuri
We prove a Lie 2-group torsor version of the well-known one-one correspondence between fibered categories and pseudofunctors. Consequently, we obtain a weak version of the principa…
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…