Timeline for Vector bundle over an oriented manifold with non-vanishing w_2w_3
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Sep 13, 2016 at 11:28 | comment | added | Samuel Monnier | Thanks, this helped. I also found the answer to this MO question useful: mathoverflow.net/questions/164714/… | |
| Sep 11, 2016 at 19:50 | comment | added | Gwenael Massuyeau | For a closed oriented $5$-manifold $M$, the Stiefel-Whitney number $\langle w_2 w_3, [M] \rangle$ can be easily deduced from the isomorphism type of the torsion subgroup of $H_2(M;\mathbb{Z})$. See the second page of the paper [G. Lusztig, J. Milnor & F. Peterson, Semi-characteristics and cobordism. Topology 8 (1969) 357--359], where the example of Wu's manifold is mentioned. | |
| Sep 11, 2016 at 17:17 | comment | added | Samuel Monnier | Great thanks! Do you have a handy reference where this is proven? | |
| Sep 11, 2016 at 17:16 | vote | accept | Samuel Monnier | ||
| Sep 11, 2016 at 15:20 | history | answered | Tyrone | CC BY-SA 3.0 |