4 papers
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…
Brauer group of moduli of stable parabolic and -connections and Higgs bundles over a curve
Pavan Adroja, Sujoy Chakraborty
Let be a compact Riemann surface of genus at least . We compute the Brauer groups of the moduli spaces of stable parabolic -connections and stable s…
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 on smooth twisted quiver bundles. We give obstructions to the existence of a smooth rela…
Notes On Fundamental Groupoid Schemes
Pavan Adroja, Sanjay Amrutiya
In this article, we study the various fundamental groupoid schemes corresponding to Tannakian categories of certain types of vector bundles. We compute fundamental groupoid scheme…