Objective B-Fields and a Hitchin-Kobayashi Correspondence

Details Objective B-Fields and a Hitchin-Kobayashi Correspondence Objective B-Fields and a Hitchin-Kobayashi Correspondence

2009-07-28

arxiv.org/abs/0907.4920v1

Mathematics

Differential Geometry

30 pages, to be submitted

Scientific paper

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.

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