Timeline for Multiplicativity twisted Hochschild Kostant Rosenberg isomorphism
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Jan 15, 2021 at 13:06 | comment | added | DamienC | @Libli: to this date, no one has succeeded in proving the existence of this ring isomorphism in a way similar to GRR. Note that GRR has to do with Hochschild homology (as opposed to Hochschild cohomology). | |
| Sep 11, 2016 at 13:50 | comment | added | SashaP | @Libli In Markarian's approach to Riemann-Roch Todd class comes as the measure of incompatibility of PBW with action of $\mathfrak{g}$ by multiplication, so maybe you can reverse his arguement, to obtain a proof which does not touch general Lie algebras, though to do this we need some fornal argument which relates appearence of Todd class in Markarian's and Kontsevich's theories. | |
| Sep 11, 2016 at 12:46 | comment | added | Libli | Thanks, this is a nice answer. But still I was wondering: isn't it possible to get a proof which stays in the realm of Algebraic Geometry? I mean, twisting with the square root of Todd class looks so close to Grothendieck-Riemann-Roch. Isn't it possible to get a proof of multiplicativity of twisted HKR using techniques similar to that in the proof of GRR? | |
| Sep 11, 2016 at 12:44 | history | bounty ended | Libli | ||
| Sep 11, 2016 at 12:44 | vote | accept | Libli | ||
| Sep 10, 2016 at 20:14 | history | answered | SashaP | CC BY-SA 3.0 |