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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Objective B-fields and a Hitchin-Kobayashi correspondence
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by Shuguang Wang PDF
Trans. Amer. Math. Soc. 364 (2012), 2087-2107 Request permission

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.
References
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Additional Information
  • Shuguang Wang
  • Affiliation: Department of Mathematics, University of Missouri, Columbia, Missouri 65211
  • Email: wangs@missouri.edu
  • 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
  • © Copyright 2011 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • 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
  • MathSciNet review: 2869199