Note on the stability of principal bundles

Hyeon, Donghoon; Murphy, David

doi:10.1090/S0002-9939-04-07386-1

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.

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