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The Donaldson-Hitchin-Kobayashi Correspondence for Parabolic Bundles over Orbifold Surfaces |
Canad. J. Math. 53(2001), 1309-1339
Published:2001-12-01
Printed: Dec 2001
Printed: Dec 2001
- Brian Steer
- Andrew Wren
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 - Singularities [See also 14B05, 14E15] 57R57 - Applications of global analysis to structures on manifolds, Donaldson and Seiberg-Witten invariants [See also 58-XX] |