THE HITCHIN–KOBAYASHI CORRESPONDENCE FOR TWISTED TRIPLES

DOI10.1142/S0129167X00000246zbMath1110.32303MaRDI QIDQ2728511

Franz W. Kamber, James F. Glazebrook, Steven B. Bradlow

Publication date: 1 August 2001

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

stabilityDonaldson functionalHermitian-Einstein equationHitchin-Kobayashi correspondencetwisted coupled vortex equations

Mathematics Subject Classification ID

Global differential geometry (53C99) Complex manifolds (32Q99) Holomorphic fiber spaces (32L99)

Cites Work

• Special metrics and stability for holomorphic bundles with global sections
• Reduction of the Hermitian-Einstein equation on Kählerian fiber bundles
• Stable triples, equivariant bundles and dimensional reduction
• Higher cohomology triples and holomorphic extensions
• Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles
• DIMENSIONAL REDUCTION OF STABLE BUNDLES, VORTICES AND STABLE PAIRS
• On the existence of hermitian-yang-mills connections in stable vector bundles