Timeline for Stiefel-Whitney total class with prescribed zeros
Current License: CC BY-SA 3.0
17 events
| when toggle format | what | by | license | comment | |
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| Dec 8, 2018 at 20:03 | answer | added | Michael Albanese | timeline score: 2 | |
| Apr 16, 2017 at 16:37 | history | edited | Michael Albanese | CC BY-SA 3.0 |
deleted 4 characters in body; edited tags
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| Apr 16, 2017 at 12:08 | answer | added | Michael Albanese | timeline score: 7 | |
| Apr 16, 2017 at 12:03 | history | edited | R. Alexandre | CC BY-SA 3.0 |
I pushed the question further
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| Apr 16, 2017 at 11:26 | comment | added | R. Alexandre | @MichaelAlbanese I think it's an exercise in Milnor-Stasheff (at the chapter were they introduce the $Sq$) | |
| Apr 16, 2017 at 11:25 | comment | added | Michael Albanese | I didn't know that. Do you know of a reference for this? | |
| Apr 16, 2017 at 11:24 | comment | added | R. Alexandre | @MichaelAlbanese no there is another Wu's formula witch states in particular $Sq^1(w_2) = w_1w_2 + w_3$. And this formula is always true for any vector bundle. (It can be shown by a small recurrence and splitting principle.) | |
| Apr 16, 2017 at 11:17 | comment | added | Michael Albanese | Wu's Theorem only applies when $E$ is the tangent bundle of a smooth manifold. | |
| Apr 16, 2017 at 9:49 | answer | added | Mark Grant | timeline score: 6 | |
| Apr 16, 2017 at 8:45 | history | edited | R. Alexandre | CC BY-SA 3.0 |
added 371 characters in body
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| Apr 16, 2017 at 8:42 | comment | added | R. Alexandre | @ThomasRot Probably. But how does it look like ? And it's a bit "boring", I'd like something closer to usual manifolds. | |
| Apr 15, 2017 at 22:40 | comment | added | Thomas Rot | But wouldn't then some finite approximation of the oriented grassmannian give a manifold with such a bundle? | |
| Apr 15, 2017 at 20:12 | history | edited | R. Alexandre | CC BY-SA 3.0 |
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| Apr 15, 2017 at 20:11 | comment | added | R. Alexandre | Yes I would like a manifold. Or at least a more geometric object. I edit in this way, thanks for the comment :-) | |
| Apr 15, 2017 at 19:41 | comment | added | Mark Grant | Do you require $M$ to be a manifold? If not then the universal oriented bundle of rank 3 answers your question. | |
| Apr 15, 2017 at 19:00 | review | First posts | |||
| Apr 15, 2017 at 19:07 | |||||
| Apr 15, 2017 at 18:55 | history | asked | R. Alexandre | CC BY-SA 3.0 |