Note on the stability of principal bundles
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- by Donghoon Hyeon and David Murphy PDF
- Proc. Amer. Math. Soc. 132 (2004), 2205-2213 Request permission
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.References
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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
- MR Author ID: 673409
- 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
- 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
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 2205-2213
- MSC (2000): Primary 14D20
- DOI: https://doi.org/10.1090/S0002-9939-04-07386-1
- MathSciNet review: 2052395