Timeline for Preimage of $1 \in H^n(M^n)$ under Chern character
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 27, 2013 at 12:55 | vote | accept | AlexE | ||
| Aug 27, 2013 at 12:51 | comment | added | AlexE | Right, as written the question does only make sense for n even. But we can sure ask the analogous question for n odd, where we look for a bundle over SM. | |
| Aug 27, 2013 at 3:32 | answer | added | Jim Bryan | timeline score: 4 | |
| Aug 27, 2013 at 3:00 | comment | added | Peter May | Think about the grading. The question isn't too meaningful as written. The Chern character takes K(M) to the product of the even dimensional rational cohomology groups and K(\Sigma M) to the product of the odd dimensional groups. In particular, if n is odd the Chern character can't see the fundamental class in terms of bundles over M. | |
| Aug 27, 2013 at 0:08 | answer | added | Lev Borisov | timeline score: 3 | |
| Aug 26, 2013 at 23:51 | history | asked | AlexE | CC BY-SA 3.0 |