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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
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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 ramified principal bundle, parabolic principal bundle, Hitchin-Kobayashi correspondence, polystability
MSC Classifications: 32L04, 53C07 show english descriptions unknown classification 32L04
Special connections and metrics on vector bundles (Hermite-Einstein-Yang-Mills) [See also 32Q20]
32L04 - unknown classification 32L04
53C07 - Special connections and metrics on vector bundles (Hermite-Einstein-Yang-Mills) [See also 32Q20]
 

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