Timeline for What is the negative cyclic homology of a smooth projective variety?
Current License: CC BY-SA 3.0
9 events
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| Nov 19, 2016 at 17:52 | history | edited | Marc Hoyois | CC BY-SA 3.0 |
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| Nov 19, 2016 at 17:51 | comment | added | Yosemite Sam | nice! thanks a lot. I also hope you got the indices right. | |
| Nov 19, 2016 at 17:44 | history | edited | Marc Hoyois | CC BY-SA 3.0 |
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| Nov 19, 2016 at 15:27 | comment | added | Marc Hoyois | What I wrote there was confusing, sorry. What I meant is that $HC_n^{per}$ is periodic de Rham cohomology even if $X$ is not affine (I changed the formula). I'm sure there are explicit formulas for $HC_n(X)$ and $HC_n^-(X)$. They are given by explicit complexes depending only on the mixed complex $(\bigoplus_n\mathbf R\Gamma\Omega_X^n, d)$. | |
| Nov 19, 2016 at 15:14 | history | edited | Marc Hoyois | CC BY-SA 3.0 |
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| Nov 19, 2016 at 4:23 | comment | added | Yosemite Sam | Thank you a lot for the very thoughtful answer. The kind of things I'm after are equations like the last three you wrote. Is there really no HKR-style way to describe HC and HC- for X projective? [for example, the fact that equation 3 is always satisfied is kind of bittersweet, since it relates HCper with the equally mysterious HC and HC- !] | |
| Nov 19, 2016 at 3:23 | history | edited | Marc Hoyois | CC BY-SA 3.0 |
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| Nov 18, 2016 at 17:12 | history | edited | Marc Hoyois | CC BY-SA 3.0 |
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| Nov 18, 2016 at 16:18 | history | answered | Marc Hoyois | CC BY-SA 3.0 |