Timeline for $\omega$ is a symplectic form then $L^k_{\omega}:\Omega^q(M)\to \Omega^{q+2k}(M)$ is injective for all $q\leq n-k$ and surjective for all $q\geq n-k$
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 2, 2022 at 12:49 | vote | accept | Uncool | ||
| Jan 25, 2022 at 1:20 | answer | added | Robert Bryant | timeline score: 5 | |
| Jan 22, 2022 at 16:37 | comment | added | Ben Tighe | You might also want to look at "Hodge Structure on Symplectic Manifolds" by Dong Yan which includes a nice proof of Mathieu's theorem on the relationship between HL and the existence of (symplectic) harmonic forms. | |
| Jan 21, 2022 at 15:05 | comment | added | Dan Fox | @Uncool: Start with the one numbered 1. | |
| Jan 21, 2022 at 13:28 | comment | added | Michael Albanese | Crossposted on MSE. | |
| Jan 21, 2022 at 9:43 | comment | added | Uncool | @DanFox Yes its a series of paper | |
| Jan 21, 2022 at 9:18 | comment | added | Dan Fox | @Uncool: The paper you mention is an overview, if I remember right. There is a series of numbered papers that have all the details. | |
| Jan 21, 2022 at 6:44 | comment | added | Vladimir Dotsenko | One standard keyword you should be looking at is "strong Lefschetz property". | |
| Jan 21, 2022 at 6:09 | comment | added | Uncool | @DanFox which paper? is it "Cohomology and Hodge Theory on symplectic manifolds"? | |
| Jan 21, 2022 at 6:04 | comment | added | Dan Fox | This is not true. It fails quite generally. See papers by Li Sheng Tseng with Tsai and Yau and others. | |
| Jan 21, 2022 at 5:37 | history | asked | Uncool | CC BY-SA 4.0 |