Pradip Kumar

collaborators

9 papers

math.QA2026

Holomorphic Jet Modules and Holomorphic Connections for Noncommutative Complex Curves

Indranil Biswas, Satyajit Guin, Pradip Kumar

We extend Atiyah's holomorphic jet bundle formalism to holomorphic vector bundles over noncommutative algebras endowed with a bigraded differential calculus truncated at bidegree $…

math.DG2026

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.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.AG2026

Logarithmic spectral correspondence for $V$ --twisted Higgs bundles on punctured curves

Pradip Kumar

Let $X$ be a smooth projective complex curve, $P \subset X$ a reduced effective divisor, and $X^{0} = X ∖ P$ . We study logarithmic $V$ -twisted Higgs bundles arising from a loga…

math.DG2026

Equivariant finite energy proper minimal surfaces in $CH^{2}$

Indranil Biswas, Pradip Kumar, John Loftin

Given a noncompact Riemann surface $I^£_{0} = I^£ ∖ P$ , where $P$ is a finite subset of a compact connected Riemann surface $I^£$ , and a reductive representation $Ï\,:\,Ï_1(…

math.AG2026

Lie algebroid connection and Harder-Narasimhan reduction

Ashima Bansal, Indranil Biswas, Pradip Kumar

Take a holomorphic Lie algebroid $(V, I ¨ )$ on a compact connected Riemann surface $X$ such that the anchor map $I ¨ $ is not surjective. Let $P$ be a parabolic subgroup of a comple…