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Apr 19, 2011 at 11:26 comment added Sebastian You have been right, I should have ask my question more carefully. Thanks for your comments.
Apr 19, 2011 at 11:00 comment added José Figueroa-O'Farrill Many thanks for editing the question!
Apr 19, 2011 at 8:50 history edited Sebastian CC BY-SA 3.0
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Apr 19, 2011 at 8:16 comment added José Figueroa-O'Farrill Surely you mean unitary connections on complex vector bundles on a complex manifold, for otherwise there is no underlying holomorphic structure. Since gauge theory is not only studied on complex manifolds, then could I ask you to please edit your question and state clearly your assumptions? Thanks.
Apr 19, 2011 at 8:11 history asked Sebastian CC BY-SA 3.0