Timeline for Quantitative results for stabilizing tangent bundles of homology spheres
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Mar 11, 2022 at 1:24 | comment | added | Michael Albanese | @inkievoyd: No. For every $n$ there could be an obstruction. Of course, for $n < r$ the groups $H^n(X; \pi_{n-1}(S^{r-1}))$ are trivial. If the bundle is orientable (which is the case if it is stably trivial), then the obstruction in $H^r(X; \pi_{r-1}(S^{r-1})) = H^r(X; \mathbb{Z})$ is the Euler class. | |
| Mar 11, 2022 at 0:01 | comment | added | inkievoyd | In the first paragraph, should the $n$'s be $r$'s? | |
| Mar 10, 2022 at 1:48 | vote | accept | inkievoyd | ||
| Mar 10, 2022 at 1:34 | history | edited | Michael Albanese | CC BY-SA 4.0 |
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| Mar 10, 2022 at 1:09 | history | edited | Michael Albanese | CC BY-SA 4.0 |
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| Mar 10, 2022 at 0:01 | history | answered | Michael Albanese | CC BY-SA 4.0 |