Timeline for Vanishing of K-theoretic index and positive scalar curvature
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| May 8, 2018 at 6:28 | comment | added | geometricK | I think you’re right. There is another way to prove this, using what you said above, which looks like it would generalise to the Hilbert A-module scenario. Still, I wonder how the $K_1$-valued index relates to the index on $M\times S^1$. | |
| May 7, 2018 at 22:04 | comment | added | Igor Belegradek | The proof combines several ingredient spread around the book. It does discuss KO-valued index theory. Just look in the index for "positive scalar curvature" and trace back from there. After the index is defined one applies the Lichnerowicz formula. | |
| May 7, 2018 at 21:49 | comment | added | geometricK | I wasn’t aware that there was a proof involving a K-theoretic index in Spin Geometry. Do you know which chapter it is in? | |
| May 4, 2018 at 18:58 | comment | added | Igor Belegradek | I am not an expert in these things but it seems to me that the proof in "Spin geometry" by Lawson and Michelsohn is not by reduction to the even-dimensional case. Did you look there, or did you have a special reason to follow the above argument? | |
| May 4, 2018 at 4:54 | history | edited | geometricK | CC BY-SA 4.0 |
added 253 characters in body
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| May 4, 2018 at 4:47 | history | asked | geometricK | CC BY-SA 4.0 |