Mainak Poddar

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20012026

most citedHolomorphic orbidiscs and Lagrangian Floer cohomology of symplectic toric orbifolds

21 citations · 64 across the 25 of their papers we have counts for

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18 papers · 1 filter

math.AG2026

Equivariant principal bundles over toric Deligne--Mumford stacks

Ramandeep Singh Arora, Chandranandan Gangopadhyay, Mainak Poddar

Let $X (Σ)$ be the toric Deligne--Mumford stack with stacky torus $T$ associated to the stacky fan $Σ = (N, Σ, β)$ . A toric principal $H$ -bu…

math.AG2024

$L$ -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…

math.AG2024

$G$ -Connections on principal bundles over complete $G$ -varieties

Bivas Khan, Mainak Poddar

Let $X$ be a complete variety over an algebraically closed field $k$ of characteristic zero, equipped with an action of an algebraic group $G$ . Let $H$ be a reductive group. We stu…

math.AG2023

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…

math.AG2022

Logarithmic connections on principal bundles over normal varieties

Jyoti Dasgupta, Bivas Khan, Mainak Poddar

Let $X$ be a normal projective variety over an algebraically closed field of characteristic zero. Let $D$ be a reduced Weil divisor on $X$ . Let $G$ be a reductive linear algebraic…

math.AG2020

Classification, reduction and stability of toric principal bundles

Jyoti Dasgupta, Bivas Khan, Indranil Biswas +2

Let $X$ be a complex toric variety equipped with the action of an algebraic torus $T$ , and let $G$ be a complex linear algebraic group. We classify all $T$ -equivariant principal $G…