Timeline for Under what condition is a fiber bundle cobordant to the trivial bundle?
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
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| Jun 21, 2018 at 16:34 | vote | accept | S. Douteau | ||
| Mar 7, 2018 at 22:39 | history | edited | Michael Albanese |
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| Mar 7, 2018 at 20:17 | answer | added | Michael Albanese | timeline score: 4 | |
| Jul 1, 2016 at 13:01 | history | edited | S. Douteau | CC BY-SA 3.0 |
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| Jun 21, 2016 at 12:16 | comment | added | David C | Yes there are classical counterexamples for oriented cobordisms. However, the signature is multiplicative when the action of the fundamental group of the base is trivial on the cohomology of the fiber. | |
| Jun 21, 2016 at 1:16 | comment | added | Igor Belegradek | For oriented cobordisms there are classical couterexamples due to Atiyah: the signature need not be multiplicative for fiber bundles, see maths.ed.ac.uk/~aar/papers/atiyahsgn.pdf even though it is multiplicative for products. | |
| Jun 20, 2016 at 17:05 | comment | added | S. Douteau | I think the answer to this question might provide an example where "cobordant" and "cobordant over B" are different. | |
| Jun 20, 2016 at 16:59 | comment | added | Jesse C. McKeown | Does anyone know if the question "cobordant over $B$" is different? | |
| Jun 20, 2016 at 16:16 | review | First posts | |||
| Jun 20, 2016 at 16:18 | |||||
| Jun 20, 2016 at 16:14 | history | asked | S. Douteau | CC BY-SA 3.0 |