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4 papers · 2 filters
On Harder-Narasimhan reductions for Higgs principal bundles
Arijit Dey, R Parthasarathi
The existence and uniqueness of H-N reduction for the Higgs principal bundles over nonsingular projective variety is shown. We also extend the notion of H-N reduction for (Γ, G)-bu…
Parabolic bundles on algebraic surfaces I- the Donaldson--Uhlenbeck compactification
V. Balaji, A. Dey, R. Parthasarathi
The aim of this paper is to construct the parabolic version of the Donaldson--Uhlenbeck compactification for the moduli space of parabolic stable bundles on an algenraic surface wi…
Universal Families on moduli spaces of principal bundles on curves
V. Balaji, I. Biswas, D. S. Nagaraj +1
Let be a connected semisimple linear algebraic group defined over and a compact connected Riemann surface of genus at least three. Let be t…
Holonomy groups of stable vector bundles
V. Balaji, János Kollár
We define the notion of holonomy group for a stable vector bundle F on a variety in terms of the Narasimhan--Seshadri unitary representation of its restriction to curves. Next we r…