Timeline for Is there a "by hand" proof on the symmetry of the Atiyah class of $TX$?
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| Sep 10, 2013 at 6:27 | comment | added | Ben McKay | But I don't think that finishes the problem. You still want to show that the obstruction to any holomorphic connection is the same as the obstruction to a holomorphic torsion-free connection. You need to map the ext groups, and then understand that map. It seems a priori possible to have a holomorphic connection but no torsion-free holomorphic connection on the holomorphic tangent bundle of some complex manifold. | |
| Sep 10, 2013 at 4:30 | history | answered | Jonathan Wise | CC BY-SA 3.0 |