Timeline for Symplectic structure on the square of a 3-manifold
Current License: CC BY-SA 4.0
13 events
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Oct 1, 2020 at 8:38 | vote | accept | CommunityBot | ||
Oct 1, 2020 at 4:06 | history | became hot network question | |||
Sep 30, 2020 at 22:04 | answer | added | Ian Agol | timeline score: 12 | |
Sep 30, 2020 at 21:48 | answer | added | Dmitri Panov | timeline score: 10 | |
Sep 30, 2020 at 21:22 | history | edited | user164740 | CC BY-SA 4.0 |
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Sep 30, 2020 at 20:33 | history | edited | user164740 | CC BY-SA 4.0 |
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Sep 30, 2020 at 20:28 | comment | added | Michael Albanese | @RobertBryant: I meant no example where $M\times M$ is Kähler. Note that the question has been edited since my comment (previously it asked whether there was an example with $M\times M$ complex). | |
Sep 30, 2020 at 20:23 | comment | added | Robert Bryant | Obviously, there is no symplectic structure (and hence no Kähler structure) on any smooth manifold homeomorphic to $S^3\times S^3$ because $H^2(S^3\times S^3) = 0$. | |
Sep 30, 2020 at 20:17 | history | edited | user164740 | CC BY-SA 4.0 |
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Sep 30, 2020 at 20:16 | comment | added | user164740 | @MichaelAlbanese thank you | |
Sep 30, 2020 at 20:14 | comment | added | Michael Albanese | There is a complex structure on $S^3\times S^3$, see Calabi-Eckmann manifolds. I am not aware of any Kähler examples. | |
Sep 30, 2020 at 20:12 | history | edited | user164740 | CC BY-SA 4.0 |
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Sep 30, 2020 at 20:05 | history | asked | user164740 | CC BY-SA 4.0 |