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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

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
Published electronically: December 1, 2011
MathSciNet review: 2869199
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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: http://dx.doi.org/10.1090/S0002-9947-2011-05413-9
PII: S 0002-9947(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.