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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Note on the stability of principal bundles


Authors: Donghoon Hyeon and David Murphy
Journal: Proc. Amer. Math. Soc. 132 (2004), 2205-2213
MSC (2000): Primary 14D20
Published electronically: March 10, 2004
MathSciNet review: 2052395
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Abstract: We compare various notions of stability for principal bundles, and show that over a compact Riemann surface of genus greater than 2, there exist principal $\operatorname{SL}(2)$-bundles that are Ad-stable.


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Additional Information

Donghoon Hyeon
Affiliation: Department of Mathematics, University of Illinois, 1409 W. Green Street, Urbana, Illinois 61801
Address at time of publication: Department of Mathematics, Rice University, 6100 Main St., Houston, Texas 77005
Email: hyeon@math.rice.edu

David Murphy
Affiliation: Department of Mathematics, University of Illinois, 1409 W. Green Street, Urbana, Illinois 61801
Email: dcmurphy@math.uiuc.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-04-07386-1
PII: S 0002-9939(04)07386-1
Received by editor(s): February 18, 2002
Received by editor(s) in revised form: February 18, 2003
Published electronically: March 10, 2004
Communicated by: Michael Stillman
Article copyright: © Copyright 2004 American Mathematical Society