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On Harder-Narasimhan reductions for Higgs principal bundles
Authors:Arijit Dey  R Parthasarathi
Institution:(1) Institute of Mathematical Sciences, CIT Campus, Taramani, 600 113 Chennai, India;(2) Chennai Mathematical Institute, 92, GN Chetty Road, T. Nagar, 600 017 Chennai, India
Abstract: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)-bundles and ramifiedG-bundles over a smooth curve.
Keywords:G-bundles  Higgs bundles  Harder-Narasimhan filtration
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