2009/07/28 by Shuguang Wang, Wang, Shuguang · 1 citation
Mathematics · Physics and Astronomy · #53C07 #57R20 #58A05 #Advanced Differential Geometry Research #Algebraic Topology (math.AT) #Differential Geometry (math.DG) #FOS: Mathematics #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.0907.4920
openalex publication_date 2009/07/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A simple trick invoking objective B-fields is employed to refine the concept of characteristic classes for twisted bundles. Then the objective stability and objective Einstein metrics are introduced and a new Hitchin-Kobayashi correspondence is established between them. As an application the SO(3)-instanton moduli space is proved to be always orientable.