Timeline for topological actions
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 27, 2011 at 18:34 | comment | added | charris | There's a typo in your update: $\omega \in H^4(BG,\mathbb Z)$. And I don't think things should be put that way. I wouldn't say you're looking for something ($a_{\omega}$) depending on $\omega$ from the outset. You're looking for something that depends on $M$ and $B$ and how $E$ is extended over $B$.. What I was getting at in my answer above is that once they choose to add the term of the form $\langle \gamma^* \omega, B \rangle$ this sets $\omega$ as an extra parameter. | |
| Apr 27, 2011 at 18:19 | comment | added | charris | I can't say I understand why that's necessarily the only sort of term that can be added, but it seems the most natural. To make everything work out you need something in terms of characteristic classes there. And that choice makes $S$ independent of the choice of bounding manifold. | |
| Apr 27, 2011 at 17:18 | comment | added | Kevin Wray | I rephrased the Update part to be a bit more precise. | |
| Apr 27, 2011 at 15:00 | comment | added | Kevin Wray | Yes, perhaps constant is not the most accurate word. Do you know why the correct term to add is $\langle \gamma^\ast(\omega),B\rangle$? | |
| Apr 27, 2011 at 14:40 | history | answered | charris | CC BY-SA 3.0 |