21 citations · 64 across the 25 of their papers we have counts for
29 papers
Equivariant principal bundles over toric Deligne--Mumford stacks
Ramandeep Singh Arora, Chandranandan Gangopadhyay, Mainak Poddar
Let be the toric Deligne--Mumford stack with stacky torus associated to the stacky fan . A toric principal -bu…
-Lie Algebroids over Topological Ringed Spaces
Mainak Poddar, Abhishek Sarkar
Lie algebroids over a topological ringed space provides a unified framework to study various geometric structures. This geometric concept is intimately connected with well-known al…
Strong generalized holomorphic principal bundles
Debjit Pal, Mainak Poddar
We introduce the notion of a strong generalized holomorphic (SGH) fiber bundle and develop connection and curvature theory for an SGH principal -bundle over a regular generalize…
-Connections on principal bundles over complete -varieties
Bivas Khan, Mainak Poddar
Let be a complete variety over an algebraically closed field of characteristic zero, equipped with an action of an algebraic group . Let be a reductive group. We stu…
Relative connections on Principal bundles and relative equivariant structures
Mainak Poddar, Anoop Singh
We investigate relative holomorphic connections on a principal bundle over a family of compact complex manifolds. A sufficient condition is given for the existence of a relative ho…
Generalized complex structure on certain principal torus bundles
Debjit Pal, Mainak Poddar
A principal torus bundle over a complex manifold with even dimensional fiber and characteristic class of type admits a family of regular generalized complex structures (GCS…