English

Objective B-Fields and a Hitchin-Kobayashi Correspondence

Differential Geometry 2009-07-29 v1 Algebraic Topology

Abstract

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.

Keywords

Cite

@article{arxiv.0907.4920,
  title  = {Objective B-Fields and a Hitchin-Kobayashi Correspondence},
  author = {Shuguang Wang},
  journal= {arXiv preprint arXiv:0907.4920},
  year   = {2009}
}

Comments

30 pages, to be submitted

R2 v1 2026-06-21T13:29:59.474Z