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May 6, 2010 at 0:44 comment added Andy Putman Yes, but you can calculate the third stable stem pretty easily using the Serre spectral sequence, which seems to me to be a heck of a lot more elementary than the index theorem. But that probably says more about me than about the index theorem...
Apr 29, 2010 at 14:00 comment added José Figueroa-O'Farrill Isn't this also a consequence of the index theorem for the Dirac operator?
Apr 29, 2010 at 1:00 history answered Daniel Moskovich CC BY-SA 2.5