Timeline for Explicit computations of Bismut-Cheeger eta form for $S^{2n}$ bundles
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Mar 26, 2023 at 13:33 | comment | added | Yuji Tachikawa | Thanks, the eta of the base can be evaluated in my case, and I only need eta mod Z, so the eta form is the issue for me, I think. | |
| Mar 26, 2023 at 13:30 | vote | accept | Yuji Tachikawa | ||
| Mar 24, 2023 at 10:08 | comment | added | Sebastian Goette | For the $\eta$-invariant of the total space, you will still need to compute an $\eta$-invariant on the base of a Dirac operator with coefficients in the fibrewise index bundle (which should be a $\mathbb Z/2$-graded vector bundle in your situation). And there might be an additional integer contribution from the "very small eigenvalues", which might be hard to control. | |
| Mar 24, 2023 at 8:31 | answer | added | Sebastian Goette | timeline score: 2 | |
| Mar 23, 2023 at 11:00 | history | edited | Yuji Tachikawa | CC BY-SA 4.0 |
Correction in the previous edit
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| Mar 23, 2023 at 8:03 | history | edited | Yuji Tachikawa | CC BY-SA 4.0 |
Added the explicit class of restricted examples I’m actually interested
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| Mar 23, 2023 at 6:28 | history | asked | Yuji Tachikawa | CC BY-SA 4.0 |