Timeline for What is geometrically the Pontryagin class?
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| Dec 22, 2012 at 22:06 | comment | added | Eric Peterson | It's maybe worth noting that that pattern doesn't continue step-by-step. Moving from $B\mathrm{Fivebrane}$ to the next stage in the Whitehead tower is not described by Pontryagin classes. This isn't a very exciting thing to point out, though; for almost identical reasons, lifting unoriented real vector bundles to oriented ones and then to spin ones is also not controlled by Pontryagin classes. | |
| Dec 22, 2012 at 19:42 | history | answered | Henry T. Horton | CC BY-SA 3.0 |