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

DOI:
https://doi.org/10.1090/S0002-9939-04-07386-1

Published electronically:
March 10, 2004

MathSciNet review:
2052395

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Abstract | References | Similar Articles | Additional Information

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 -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:
https://doi.org/10.1090/S0002-9939-04-07386-1

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