Timeline for How can I measure the Morse index in infinite dimensions?
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 5, 2009 at 11:22 | comment | added | Joel Fine | @Greg Kuperberg, that's a very good point. | |
| Dec 4, 2009 at 22:13 | comment | added | Greg Kuperberg | It is true that modern interest in infinite-dimensional Morse theory is dominated by this relative case with bi-infinite index. In the Chern-Simons case there can't even be an absolute index because the Morse complex is only graded by a cyclic group. However, Morse's original application of Morse theory was to variations of curves, and Theo's question does fit that traditional setting. | |
| Dec 4, 2009 at 17:57 | comment | added | Joel Fine | I had a sneaking suspicion you were only focused on the linear algebra, but because you used the word "Morse" and just in case you had an application in mind I thought I should say something. | |
| Dec 4, 2009 at 17:09 | comment | added | Theo Johnson-Freyd | Well, certainly don't delete your answer! Although the question I was asking was essentially about linear algebra, not applications :) | |
| Dec 4, 2009 at 16:43 | history | answered | Joel Fine | CC BY-SA 2.5 |