Sanjay Amrutiya

collaborators

4 papers

math.DG2026

Real Slices of Parabolic $SL (r, C)$ -Opers

Sanjay Amrutiya, Sandipan Das

Let $X$ be a Riemann surface equipped with an anti-holomorphic involution $I ¨ _{X}$ . We show that this induces a natural anti-holomorphic involution on the space of parabolic $\mathrm…

math.AG2026

Semi-finite vector bundles on complex tori

Pavan Adroja, Sanjay Amrutiya

We study finite and semi-finite vector bundles on complex tori. We give an explicit decomposition of such bundles in terms of torsion and unipotent factors. As a consequence, we pr…

math.DG2026

Smooth relative connections on quiver bundles

Pavan Adroja, Sanjay Amrutiya, Riddhi Patil

We develop a theory of smooth relative connections over the real path algebra $R Q$ on smooth twisted quiver bundles. We give obstructions to the existence of a smooth rela…

math.AG2025

On semi-finite vector bundles with connection over Kahler manifolds

Sanjay Amrutiya, Indranil Biswas

Let $X$ be a compact connected KÃ¤hler manifold. We consider the category $C^{EC} (X)$ of flat holomorphic connections $(E, \nabla^{E})$ over $X$ satisfying the con…

Real Slices of Parabolic SL(r,C)-Opers

Semi-finite vector bundles on complex tori

Smooth relative connections on quiver bundles

On semi-finite vector bundles with connection over Kahler manifolds

Real Slices of Parabolic $SL (r, C)$ -Opers