Timeline for Generalization of Hopf invariant
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 11, 2021 at 22:21 | vote | accept | Tominaga | ||
| Mar 11, 2021 at 20:56 | answer | added | John Rognes | timeline score: 7 | |
| Mar 8, 2021 at 22:31 | comment | added | მამუკა ჯიბლაძე | I believe work of Gerd Laures is very relevant, particularly his "The topological $q$-expansion principle" and "On cobordism of manifolds with corners". Free versions can be found on his publications page | |
| Mar 8, 2021 at 22:14 | comment | added | Bertram Arnold | The invariant you are describing is exactly (dual to) the $1$-line of the Adams spectral sequence: it is defined if the map f is in Adams filtration $1$, i.e. its map on $E$-cohomology vanishes, and measures if the map is in Adams filtration $2$. The differentials in the spectral sequence tell you how many elements can be detected this way. As such, you can find more information about this invariant for any $E$ by studying the $E$-based Adams ss, which has been done for all the $E$ you mention. | |
| Mar 8, 2021 at 21:21 | review | First posts | |||
| Mar 8, 2021 at 21:33 | |||||
| Mar 8, 2021 at 21:19 | history | asked | Tominaga | CC BY-SA 4.0 |