Objective B-fields and a Hitchin-Kobayashi correspondence
Author:
Shuguang Wang
Journal:
Trans. Amer. Math. Soc. 364 (2012), 2087-2107
MSC (2010):
Primary 53C07, 53C08, 57R20
DOI:
https://doi.org/10.1090/S0002-9947-2011-05413-9
Published electronically:
December 1, 2011
MathSciNet review:
2869199
Full-text PDF
Abstract | References | Similar Articles | Additional Information
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.
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Additional Information
Shuguang Wang
Affiliation:
Department of Mathematics, University of Missouri, Columbia, Missouri 65211
Email:
wangs@missouri.edu
DOI:
https://doi.org/10.1090/S0002-9947-2011-05413-9
Keywords:
Objective Chern classes,
Hermitian-Einstein metric,
stable bundle,
Hitchin-Kobayashi correspondence
Received by editor(s):
July 30, 2009
Received by editor(s) in revised form:
May 10, 2010, and June 15, 2010
Published electronically:
December 1, 2011
Article copyright:
© Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.