Timeline for $X$ with $H^*(X)=$affine Verma module?
Current License: CC BY-SA 4.0
10 events
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S Mar 28, 2020 at 15:03 | history | bounty ended | CommunityBot | ||
S Mar 28, 2020 at 15:03 | history | notice removed | CommunityBot | ||
Mar 21, 2020 at 12:27 | comment | added | Pulcinella | @Ebz I think it's hard enough to come up with a natural example with $H^*(X)=V_\kappa(\mathfrak{g})$ as vector spaces, I am happy to worry about the extra structure later. | |
Mar 21, 2020 at 12:24 | comment | added | Pulcinella | @Ebz The grading should be whatever it is in the Grojnowski-Nakajima construction, which I can't remember offhand, an element in $H^\star(X^{[n]})$ probably has grading $\star+f(n)$ for some function $f(n)$ (probably linear or quadratic). | |
Mar 20, 2020 at 19:41 | history | edited | YCor |
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S Mar 20, 2020 at 13:52 | history | bounty started | Pulcinella | ||
S Mar 20, 2020 at 13:52 | history | notice added | Pulcinella | Canonical answer required | |
Dec 28, 2019 at 22:44 | comment | added | user108998 | A couple queries. What is the grading u propose to put on the affine verma? also as an algebra isn't it a rather silly object, doesn't remember anything about the lie algebra except it's dimension for example. I think this question could use reforumlating so that the natural structures on the two sides match up better. Maybe u want to see the kac moody action or the vertex algebra structure motivically on X, like in the Grojnowski Nakajima picture | |
Dec 28, 2019 at 11:13 | history | edited | Pulcinella | CC BY-SA 4.0 |
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Dec 28, 2019 at 9:36 | history | asked | Pulcinella | CC BY-SA 4.0 |