Timeline for Kähler manifold with even-only singular cohomology
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Sep 19, 2019 at 18:59 | vote | accept | Filip | ||
| Sep 18, 2019 at 13:56 | answer | added | Danny Ruberman | timeline score: 9 | |
| Sep 18, 2019 at 11:21 | comment | added | Thomas Rot | I don't know Filip92. | |
| Sep 18, 2019 at 10:15 | history | edited | Filip | CC BY-SA 4.0 |
I add the condition that manifold is simply connected
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| Sep 18, 2019 at 10:14 | comment | added | Filip | Hmm, I see. I will put an additional condition that the manifold is simply connected. Is it then true? | |
| Sep 18, 2019 at 9:10 | comment | added | Thomas Rot | I do not know anything about Kähler manifolds, but if one only assumes that the manifold is symplectic this is very far from true. Gompf has shown that there exist, for any finitely presented group $G$, a closed symplectic four manifold $M$ with fundamental group $G$. Now take a perfect group $G$, then $H_1(M)=H_3(M)=0$, but it will not admit a Morse function with only even indices. | |
| Sep 17, 2019 at 18:39 | history | edited | Filip |
edited tags
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| Sep 17, 2019 at 18:15 | history | asked | Filip | CC BY-SA 4.0 |