Timeline for The principal symbol as an element in the K-theory
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 13, 2022 at 12:09 | comment | added | Paul Siegel | @SebastianGoette Good catch - I missed that point. The nLab page points to Freed's notes on Dirac operators, and so in that context there is probably a fixed choice of Spin or Spin$^c$ structure lying around - but the nLab page itself should probably be corrected. | |
| Aug 13, 2022 at 8:15 | comment | added | Sebastian Goette | The ncatlab page says $[\sigma]\in K(M)$ (not $TM$). To get this, one has to apply the Thom isomorphism in $K$-theory. But this only works if $TM$ is $K$-orientable (Spin$^c$ in the complex case) and even then, it is only well-defined if there is just one $K$-orientation. | |
| Aug 12, 2022 at 18:46 | history | edited | Paul Siegel | CC BY-SA 4.0 |
added 46 characters in body
|
| Aug 12, 2022 at 18:44 | vote | accept | Jake Wetlock | ||
| Aug 12, 2022 at 18:35 | history | answered | Paul Siegel | CC BY-SA 4.0 |