Talk:Does the existence of a string structure depend on a spin structure ? (and a generalization)
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Revision as of 17:25, 21 January 2011 by Martin Olbermann (Talk | contribs)
Re Answers: do we know the positive answer for all relevant , or just some. i.e. if with can the obstruction to lifting a structure to depend upon the choice of structure?
This is answered now too by a mod 2 consideration and Stong's paper. I believe the mod 3 consideration works for all multiples of 4. Interestingly, modulo bigger primes seems it seems to hold that the obstructions to lifting from to are equal if the -structure is the same, but can be different if one only knows that the -structure is the same.