Timeline for What is the negative cyclic homology of a smooth projective variety?
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| when toggle format | what | by | license | comment | |
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| Nov 18, 2016 at 16:18 | answer | added | Marc Hoyois | timeline score: 13 | |
| Nov 17, 2016 at 12:28 | comment | added | Daniel Pomerleano | The other differential in the mixed complex can be identified with de Rham d, but the difficulty of this calculation depends precisely on how you define things. In particular, for varieties over $\mathbb{C}$, the periodic cyclic homology always agrees with the two periodization of cohomology. There is an early paper by Weibel "Cyclic homology for schemes" that asserts this in one framework. You can also look at Toen and Vezzosi "S^1 Equivariant simplicial algebras and de Rham theory" or Nadler Ben-Zvi (they have a few papers on related topics). | |
| Nov 17, 2016 at 12:05 | comment | added | pbelmans | You might find some pointers in imperium.lenin.ru/~kaledin/tokyo/final.pdf, e.g. in lecture 2. | |
| Nov 17, 2016 at 6:53 | comment | added | Qiaochu Yuan | One of these should end up being algebraic de Rham cohomology, I think? | |
| Nov 17, 2016 at 5:45 | history | asked | Yosemite Sam | CC BY-SA 3.0 |