Indranil Biswas

activity

20212026

most citedLine bundles on the moduli space of Lie algebroid connections over a curve

1 citations · 2 across the 20 of their papers we have counts for

collaborators

21 papers

math.AG2026

Torelli theorem for the product of moduli spaces of vector bundles over a curve

Indranil Biswas, Arijit Dey, Anubhab Pahari

We prove a Torelli-type theorem for a product of the moduli spaces of semistable vector bundles over smooth projective curves of genus $g \geq 4$ . A similar result is proved for…

math.DG2026

On the complete maximal maps and their singularities

Rivu Bardhan, Indranil Biswas, Pradip Kumar +1

This article investigates the global structure of maximal surfaces (space-like immersions with zero mean curvature) in Lorentz-Minkowski $3$ -space $E_{1}^{3}$ , especially focu…

math.AG2026

Brauer group of moduli stacks of parabolic principal bundles over a curve

Indranil Biswas, Sujoy Chakraborty

We prove that the Brauer group of the moduli stack of parabolic stable principal $PGL (r, C)$ -bundles on a curve $X$ , for a generic system of weights along an arbitra…

math.QA2026

Fixed points and Holomorphic Structures on Line Bundles over the Quantum Projective Line

Indranil Biswas, Satyajit Guin, Pradip Kumar

It has recently been observed that, in contrast to the classical case, holomorphic structures on line bundles over the quantum projective line are not uniquely determined by degree…

math.AG2025

Holomorphic Lie algebroid connections on holomorphic principal bundles on compact Riemann surfaces

Indranil Biswas

For a $Γ$ --equivariant holomorphic Lie algebroid $(V, ϕ)$ , on a compact Riemann surface $X$ equipped with an action of a finite group $Γ$ , we investigate the equivariant holomorp…

math.DG2025

Higher genus Angel surfaces

Rivu Bardhan, Indranil Biswas, Shoichi Fujimori +1

We prove the existence of complete minimal surfaces in $R^{3}$ of arbitrary genus $p \geq 1$ and least total absolute curvature with precisely two ends -- one catenoidal…

math.AG2025

Applications of the Liouville symplectic form on the cotangent bundle of a loop group

Indranil Biswas, Michi-aki Inaba, Arata Komyo +2

Let $G$ be a semisimple, simply connected, affine algebraic group defined over $C$ . Consider the Liouville symplectic structure on the total space $T^{*} G ((t))$ of the cotang…

math.AG2025

A criterion for holomorphic Lie algebroid connections

David Alfaya, Indranil Biswas, Pradip Kumar +1

Given a holomorphic Lie algebroid $(V, ϕ)$ on a compact connected Riemann surface $X$ , we give a necessary and sufficient condition for a holomorphic vector bundle $E$ on $X$ to ad…

math.AG2025

Prym varieties and projective structures on Riemann surfaces

Indranil Biswas, Alessandro Ghigi, Luca Vai

Given an étale double covering $π : C ⟶ C$ of compact Riemannsurfaces with $C$ of genus at least two, we use the Prym variety of the cover to cons…

math.AG2025

Brauer group of moduli of parabolic symplectic bundles

Indranil Biswas, Sujoy Chakraborty, Arijit Dey

Let $X$ be a smooth connected complex projective curve of genus $g$ , with $g \geq 3$ . Fix an integer $r \geq 2$ , a finite subset $D \subset X$ , and a line bundle $L$ on $X$ .…

math.AG2024

A criterion for Lie algebroid connections on a compact Riemann surface

Indranil Biswas, Pradip Kumar, Anoop Singh

Let $X$ be a compact connected Riemann surface and $(V, ϕ)$ a holomorphic Lie algebroid on $X$ such that the holomorphic vector bundle $V$ is stable. We give a necessary and suffic…

math.AG2024

Parabolic vector bundles and Lie algebroid connections

David Alfaya, Indranil Biswas, Pradip Kumar +1

Given a holomorphic Lie algebroid on an m-pointed Riemann surface, we define parabolic Lie algebroid connections on any parabolic vector bundle equipped with parabolic structure ov…

math.AG2024

Theta functions and projective structures

Indranil Biswas, Alessandro Ghigi, Luca Vai

Given a compact Riemann surface $X$ , we consider the line, in the space of sections of $2Θ$ on $J^{0} (X)$ , orthogonal to all the sections that vanish at the origin. This line produce…

math.DG2023

Sasakian geometry and Heisenberg groups

Indranil Biswas, Hisashi Kasuya

We prove that a compact Sasakian manifolds whose first and second basic Chern classes vanish is locally isomorphic to the real Heisenberg group equipped with the standard left inva…

math.AG2023

Theta bundle, Quillen connection and the Hodge theoretic projective structure

Indranil Biswas, Alessandro Ghigi, Carolina Tamborini

There are two canonical projective structures on any compact Riemann surface of genus at least two: one coming from the uniformization theorem, and the other from Hodge theory. The…

math.DG2023

Higher genus maxfaces with Enneper end

Rivu Bardhan, Indranil Biswas, Pradip Kumar

We have proven the existence of new higher-genus maxfaces with Enneper end. These maxfaces are not the companions of any existing minimal surfaces, and furthermore, the singularity…

math.CV2023

On the symplectic structure over the moduli space of projective structures on a surface

Indranil Biswas

The moduli space of projective structures on a compact oriented surface $Σ$ has a holomorphic symplectic structure, which is constructed by pulling back, using the monodromy map, t…

math.AG2023

Functions on the moduli space of projective structures on complex curves

Indranil Biswas

We investigate the moduli space $P_{g}$ of smooth complex projective curves of genus $g$ equipped with a projective structure. When $g \geq 3$ , it is shown that this m…

math.AG2022★ 1 cited

Line bundles on the moduli space of Lie algebroid connections over a curve

Indranil Biswas, Anoop Singh

We explore algebro-geometric properties of the moduli space of holomorphic Lie algebroid ( $L$ ) connections on a compact Riemann surface $X$ of genus $g \geq 3$ . A s…

math.AG2022

Brauer group of moduli stack of stable parabolic $PGL (r)$ -bundles over a curve

Indranil Biswas, Sujoy Chakraborty, Arijit Dey

Let $k$ be an algebraically closed field of characteristic zero. We prove that the Brauer group of moduli stack of stable parabolic $PGL (r, k)$ -bundles with full flag q…

math.DG2021★ 1 cited

Higgs bundles and flat connections over compact Sasakian manifolds, II: quasi-regular bundles

Indranil Biswas, Hisashi Kasuya

In this continuation of \cite{BK} we investigate the non-abelian Hodge correspondence on compact Sasakian manifolds with emphasis on the quasi-regular case. On quasi-regular Sasaki…

Torelli theorem for the product of moduli spaces of vector bundles over a curve

On the complete maximal maps and their singularities

Brauer group of moduli stacks of parabolic principal bundles over a curve

Fixed points and Holomorphic Structures on Line Bundles over the Quantum Projective Line

Holomorphic Lie algebroid connections on holomorphic principal bundles on compact Riemann surfaces

Higher genus Angel surfaces

Applications of the Liouville symplectic form on the cotangent bundle of a loop group

A criterion for holomorphic Lie algebroid connections

Prym varieties and projective structures on Riemann surfaces

Brauer group of moduli of parabolic symplectic bundles

A criterion for Lie algebroid connections on a compact Riemann surface

Parabolic vector bundles and Lie algebroid connections

Theta functions and projective structures

Sasakian geometry and Heisenberg groups

Theta bundle, Quillen connection and the Hodge theoretic projective structure

Higher genus maxfaces with Enneper end

On the symplectic structure over the moduli space of projective structures on a surface

Functions on the moduli space of projective structures on complex curves

Line bundles on the moduli space of Lie algebroid connections over a curve

Brauer group of moduli stack of stable parabolic PGL(r)-bundles over a curve

Higgs bundles and flat connections over compact Sasakian manifolds, II: quasi-regular bundles

Brauer group of moduli stack of stable parabolic $PGL (r)$ -bundles over a curve