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# Polystable Parabolic Principal $G$-Bundles and Hermitian-Einstein Connections

Published:2011-06-08
Printed: Mar 2013
• Indranil Biswas,
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay 400005, India
• Arijit Dey,
Department of Mathematics, Indian Institute of Technology, Madras, I.I.T. Post Office, Chennai-60036, India
 Format: LaTeX MathJax PDF

## Abstract

We show that there is a bijective correspondence between the polystable parabolic principal $G$-bundles and solutions of the Hermitian-Einstein equation.
 Keywords: ramified principal bundle, parabolic principal bundle, Hitchin-Kobayashi correspondence, polystability
 MSC Classifications: 32L04 - unknown classification 32L0453C07 - Special connections and metrics on vector bundles (Hermite-Einstein-Yang-Mills) [See also 32Q20]

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