Timeline for Are there geometrically formal manifolds, which are not rationally elliptic?
Current License: CC BY-SA 3.0
14 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 9, 2019 at 18:54 | comment | added | Aleksandar Milivojević | @IgorBelegradek In case you're still interested: It is not; by Corollary 11 in Kotschick's original paper arxiv.org/abs/math/0004009, a closed oriented four-manifold with $b_1=1$ and $b_2=0$ is geometrically formal iff it fibers over a circle. Now, $S^3\times S^1$ is geometrically formal, but if you connect sum that with a non-trivial rational homology four-sphere, then you get a manifold with the same rational homotopy type, but which does not fiber over a circle. (This last part, about not fibering over a circle, was shown to me by Corey Bregman; I can provide details if you're interested.) | |
| Mar 24, 2018 at 0:40 | history | edited | Adam P. Goucher | CC BY-SA 3.0 |
Misplaced apostrophe
|
| Nov 27, 2017 at 3:00 | answer | added | Aleksandar Milivojević | timeline score: 9 | |
| Mar 16, 2014 at 11:32 | history | edited | archipelago | CC BY-SA 3.0 |
added 408 characters in body
|
| Mar 12, 2014 at 15:19 | history | edited | archipelago | CC BY-SA 3.0 |
edited body
|
| Mar 12, 2014 at 14:23 | history | edited | John Pardon | CC BY-SA 3.0 |
replaced e.g. with i.e. (e.g. means "for example", you mean the latter)
|
| Mar 12, 2014 at 13:58 | answer | added | Greg Lupton | timeline score: 5 | |
| Mar 12, 2014 at 12:50 | history | edited | archipelago | CC BY-SA 3.0 |
added 8 characters in body
|
| Mar 12, 2014 at 3:13 | comment | added | Igor Belegradek | Is geometric formality preserved under rational homotopy equivalence? | |
| Mar 12, 2014 at 0:34 | history | edited | archipelago | CC BY-SA 3.0 |
added 5 characters in body
|
| Mar 11, 2014 at 20:43 | comment | added | archipelago | Note that examples of these kind cannot be homogeneous spaces or even biquotients, as they are rationally elliptic. | |
| Mar 11, 2014 at 20:38 | history | edited | archipelago | CC BY-SA 3.0 |
deleted 2 characters in body
|
| Mar 11, 2014 at 19:30 | history | edited | Ben McKay | CC BY-SA 3.0 |
spelling
|
| Mar 11, 2014 at 18:42 | history | asked | archipelago | CC BY-SA 3.0 |