Timeline for Second Stiefel-Whitney class is a square
Current License: CC BY-SA 4.0
9 events
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| Aug 8, 2020 at 21:59 | history | edited | Michael Albanese | CC BY-SA 4.0 |
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| Aug 8, 2020 at 21:51 | history | edited | Michael Albanese | CC BY-SA 4.0 |
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| Sep 18, 2018 at 16:56 | history | edited | Michael Albanese | CC BY-SA 4.0 |
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| Aug 13, 2018 at 16:47 | history | edited | Michael Albanese | CC BY-SA 4.0 |
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| Aug 13, 2018 at 16:24 | history | edited | Michael Albanese | CC BY-SA 4.0 |
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| Jan 27, 2017 at 16:32 | comment | added | Riccardo | for what concern your last question, I believe the answer is yes, even though I'm unable to provide explicit examples. Looking at almost spin 4-manifolds, one can define the so called $w$-type of it, which basically is the preimage via the classifying map $c_* : H^2(\pi_1M;\mathbb{Z}_2)\to H^2(M;\mathbb{Z}_2)$ of $w_2(M)$ (this definition involves a Serre SS argument). Then one can compute the stable diffeomorphism classes of orientable manifolds with $w$-type $x^2$ and in some examples it turns out that the class is not empty, which means that exists the 4-manifold with the required property | |
| Dec 5, 2016 at 16:45 | history | edited | Michael Albanese | CC BY-SA 3.0 |
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| Dec 4, 2016 at 23:04 | history | edited | Michael Albanese | CC BY-SA 3.0 |
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| Dec 3, 2016 at 14:30 | history | answered | Michael Albanese | CC BY-SA 3.0 |