Timeline for Norm/transfer functoriality of Bloch map on $K$-theory
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 15 at 23:15 | vote | accept | xir | ||
| Jan 15 at 14:23 | answer | added | Oli Gregory | timeline score: 2 | |
| Aug 1, 2023 at 13:14 | comment | added | Marc Hoyois | I'm guessing this Bloch map coincides with $\pi_n$ of the Dennis trace map from K-theory to Hochschild homology. For the Dennis trace the desired functoriality is clear, since it is even functorial in the dg-category of perfect complexes. | |
| Aug 1, 2023 at 10:23 | comment | added | Oli Gregory | Yes you’re right, thanks. | |
| Jul 31, 2023 at 22:01 | comment | added | xir | is there not a map from $K_n(X)$ to $H^0(X,\mathcal{K}_{n,X})$? anyway, you can also take $X$ to be affine if you want, and ask the same question. | |
| Jul 31, 2023 at 21:20 | comment | added | Oli Gregory | I don’t understand your map. Usually the $d\log$ map is from the $K$-theory sheaf $\mathcal{K}_{n,X}$ to $\Omega_{X}^{n}$, and of course $K_{n}(X)$ is typically larger than $H^{0}(X,\mathcal{K}_{n,X})$. | |
| Jul 31, 2023 at 20:32 | history | asked | xir | CC BY-SA 4.0 |