Objective B-fields and a Hitchin-Kobayashi correspondence

DOI10.1090/S0002-9947-2011-05413-9zbMath1300.53027arXiv0907.4920MaRDI QIDQ5389419

MO) Shuguang Wang Columbia

Publication date: 26 April 2012

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.4920

zbMATH Keywords

Hermitian-Einstein metricstable bundleHitchin-Kobayashi correspondenceobjective Chern classes

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Differential geometric aspects of gerbes and differential characters (53C08)

Related Items

Semi-stable twisted holomorphic vector bundles over Gauduchon manifolds ⋮ Einstein-Hermitian connection on twisted Higgs bundles ⋮ Kobayashi-Hitchin correspondence for twisted vector bundles ⋮ The Hitchin-Kobayashi correspondence on twisted \(\lambda\)-flat bundles

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(SU(4)\) instantons on Calabi-Yau threefolds with \(\mathbb Z_{2}\times \mathbb Z_{2}\) fundamental group
• The Maslov gerbe
• Stability of Einstein-Hermitian vector bundles
• Gerbes and twisted orbifold quantum cohomology
• Infinite determinants, stable bundles and curvature
• Gerbes over orbifolds and twisted \(K\)-theory
• Gerbes, Clifford modules and the index theorem
• The orientation of Yang-Mills moduli spaces and 4-manifold topology
• Twisted \(K\)-theory and \(K\)-theory of bundle gerbes
• Holonomy and parallel transport for abelian gerbes
• The index of projective families of elliptic operators
• Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles
• GERBES, HOLONOMY FORMS AND REAL STRUCTURES
• Constructing Variations of Hodge Structure Using Yang-Mills Theory and Applications to Uniformization
• On the existence of hermitian-yang-mills connections in stable vector bundles
• A Narasimhan-Seshadri-Donaldson Correspondence over Non-orientable Surfaces
• Bundle Gerbes
• Loop spaces, characteristic classes and geometric quantization
• D-branes, \(B\)-fields and twisted \(K\)-theory