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Polystable Parabolic Principal G-Bundles and Hermitian-Einstein Connections

Published online by Cambridge University Press:  20 November 2018

Indranil Biswas  and
Arijit Dey
Indranil Biswas
Affiliation:
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay 400005, India e-mail: indranil@math.tifr.res.in
Arijit Dey
Affiliation:
Department of Mathematics, Indian Institute of Technology, Madras, I.I.T. Post Office, Chennai-60036, India e-mail: arijitdey@gmail.com
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Abstract

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We show that there is a bijective correspondence between the polystable parabolic principal $G$-bundles and solutions of the Hermitian-Einstein equation.

Keywords

32L0453C07ramified principal bundleparabolic principal bundleHitchin-Kobayashi correspondencepolystability
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 56 , Issue 1 , 01 March 2013 , pp. 44 - 54
Copyright
Copyright © Canadian Mathematical Society 2013

References

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