Timeline for Three-dimensional compact Kähler manifolds
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Aug 9, 2013 at 9:39 | vote | accept | Michael Albanese | ||
| Jul 15, 2013 at 21:36 | comment | added | Misha Verbitsky | However, there are examples of non-formal (hence, non-Kahler) symplectic manifolds satisfying hard Lefschetz; see arxiv.org/abs/math/0403067, "The Lefschetz property, formality and blowing up in symplectic geometry", by Gil R. Cavalcanti | |
| Jul 15, 2013 at 13:16 | comment | added | daniele | (actually, symplectic structures on nilmanifolds never satisfy the Hard Lefschetz Condition, as in the proof of Theorem A by Benson and Gordon, ams.org/mathscinet-getitem?mr=976592. In fact, the map $[\omega^{n-1}]: H^1_{dR}(X;\mathbb{R})\to H^{2n-1}_{dR}(X;\mathbb{R})$ is not surjective for a $2n$-dimensional nilmanifold $X$ with a symplectic structure $\omega$) | |
| Jul 15, 2013 at 12:52 | history | answered | Misha Verbitsky | CC BY-SA 3.0 |