Timeline for Does a spectral gap lift to covering spaces?
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Jul 22, 2018 at 18:02 | history | edited | Truong | CC BY-SA 4.0 |
corrected grammar
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| Jul 17, 2018 at 23:03 | history | undeleted | Truong | ||
| Jul 17, 2018 at 12:44 | history | deleted | Truong | via Vote | |
| Jul 17, 2018 at 11:02 | comment | added | Jan Bohr | As for the 2D-case: I haven't looked into the proof of the claim but I suspect it to rather establish a result that incidentally also holds for the covering space rather than actually lifting the gap. However, it's a good example to have in mind, because the only test examples I could wrap my head around so far were compact (where existence of a spectral gap is clear). | |
| Jul 17, 2018 at 10:59 | comment | added | Jan Bohr | Well, I also think that it is true. Unfortunately most references on spectral geometry seem to deal at most with the case that $N$ is compact and $\hat N$ is non-compact. If you have in your mind a useful result from spectral theory (that I could find in any book), I'm happy to hear about it. | |
| Jul 17, 2018 at 9:54 | history | answered | Truong | CC BY-SA 4.0 |