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The Donaldson-Hitchin-Kobayashi Correspondence for Parabolic Bundles over Orbifold Surfaces

  Published:2001-12-01
 Printed: Dec 2001
  • Brian Steer
  • Andrew Wren
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Abstract

A theorem of Donaldson on the existence of Hermitian-Einstein metrics on stable holomorphic bundles over a compact K\"ahler surface is extended to bundles which are parabolic along an effective divisor with normal crossings. Orbifold methods, together with a suitable approximation theorem, are used following an approach successful for the case of Riemann surfaces.
MSC Classifications: 14J17, 57R57 show english descriptions Singularities [See also 14B05, 14E15]
Applications of global analysis to structures on manifolds, Donaldson and Seiberg-Witten invariants [See also 58-XX]
14J17 - Singularities [See also 14B05, 14E15]
57R57 - Applications of global analysis to structures on manifolds, Donaldson and Seiberg-Witten invariants [See also 58-XX]
 

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