Timeline for Viterbo restriction map surjective on Weinstein neighbourhood
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 11, 2021 at 18:48 | vote | accept | Filip | ||
| Nov 11, 2021 at 18:48 | vote | accept | Filip | ||
| Nov 11, 2021 at 18:48 | |||||
| Feb 12, 2020 at 19:00 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Jan 13, 2020 at 17:18 | answer | added | YHBKJ | timeline score: 1 | |
| Jan 13, 2020 at 13:10 | comment | added | Filip | ++ The fact that makes me think this surjectivity to be true in these ADE plumbings examples is that the rank of $SH^i(M)$ is exactly the sum of the ranks of $SH^i(T^*S^2)$, summing by all components of skeleton, for all $i\in \mathbb{Z}$, hence one may think that Viterbo restrictions are sending different subspaces of $SH^*(M)$ isomorphically to $SH^*$ of Weinstein neighborhoods of different spheres. | |
| Jan 12, 2020 at 22:34 | comment | added | Filip | Hmm, that is true -- maybe I should be a bit more restrictive, then. I had in mind a setup of holomorphic symplectic manifold $M$ with a Lagrangian skeleton $L$ which is a holomorphic projective variety. Its irreducible components $L_i$ are exact holomorphic Lagrangians, if smooth. In particular, the ambient M could be even hyperkahler, e.g. ADE plumbings of $T^*S^2$. Here the skeleta are ADE trees of Lagrangian $S^2$-spheres, and I think (though I did not prove) that this surjectivity statement is true for those spheres. | |
| Jan 12, 2020 at 19:55 | comment | added | Mohammed Abouzaid | This is already false for the inclusion of a circle in a punctured genus 1 surface. What kind of condition do you have in mind? | |
| Jan 12, 2020 at 18:08 | history | asked | Filip | CC BY-SA 4.0 |