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Dec 13, 2015 at 21:23 comment added Ryan Budney No, unreduced obstruction theory, and the associated higher obstructions. This is plain old cellular cohomology with twisted coefficients. See Milnor and Stasheff's book.
Dec 13, 2015 at 20:02 comment added Saal Hardali That's an old post but It got me really interested. What do you have in mind in (1)? What cohomology do you mean? Lie algebra cohomology?
Aug 3, 2010 at 3:39 history answered Ryan Budney CC BY-SA 2.5