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Oct 2, 2013 at 17:57 comment added Qiaochu Yuan Thanks! I think this captures what I was looking for conceptually, although maybe to find references I should look at papers on Lie algebroids instead as Ben suggests.
Oct 2, 2013 at 17:56 vote accept Qiaochu Yuan
Oct 2, 2013 at 2:04 comment added Theo Johnson-Freyd My impression is that the literature is a bit sparse when it comes to doing this type of thing differentio-geometrically. I don't feel like doing the leg work myself, but if I did, I'd start with Roytenberg and collaborators.
Oct 1, 2013 at 22:52 history answered Sam Gunningham CC BY-SA 3.0