Timeline for What is the "symplectic duality" between holomorphic symplectic manifolds? Where can I read more about it?
Current License: CC BY-SA 3.0
10 events
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| Jul 18, 2013 at 18:21 | comment | added | Peter Koroteev | Interesting point. I wonder if anybody looked at the symplectic duality from the viewpoint of integrable many-body systems in the spirit of Nekrasov and Shatashvili. Such duality may unveil some new dualities between various Hitchin-type integrable systems. | |
| Jun 6, 2011 at 5:44 | comment | added | Hiraku Nakajima | Well, for example, rather than just a bijection between bases, is there an isomorphism between 1) the cohomology of the core of quiver variety, and 2) the intersection cohomology group of the affine Grassmannian ? I want it to be `natural' in some sense, which I do not know how to formulate. And it is not clear to me how this is explained in the framework of Koszul duality, discussed in the earlier part. | |
| Jun 6, 2011 at 4:59 | comment | added | Ben Webster♦ | Oh and Yuji, I should say I just misread your comment; your meaning should have been clear the first time. | |
| Jun 6, 2011 at 4:58 | comment | added | Ben Webster♦ | I think there is a bit more evidence now (those slides are about a year and a half old now, but it's still a little pie in the sky outside the type A case (where things are pretty well established). What sort of evidence would be more satisfying for you? | |
| Jun 6, 2011 at 1:57 | comment | added | Yuji Tachikawa | @Ben I did, thank you. (I meant to write "it was good to be informed which string paper...") | |
| Jun 6, 2011 at 1:25 | comment | added | Hiraku Nakajima | Hi, Ben. Do you have more precise statements of, for example, duality between quiver varieties and affine Grassmann ? I am not fully satisfied with your evidences in p.38. | |
| Jun 5, 2011 at 18:03 | comment | added | Ben Webster♦ | You didn't follow the link? | |
| Jun 5, 2011 at 13:53 | vote | accept | Yuji Tachikawa | ||
| Jun 5, 2011 at 13:53 | comment | added | Yuji Tachikawa | Thank you very much, Ben! I'm looking forward to the full paper ... it's also good to know which string theory paper you had in mind. | |
| Jun 5, 2011 at 13:40 | history | answered | Ben Webster♦ | CC BY-SA 3.0 |