Timeline for Positive scalar curvature on the total space of a circle bundle
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Jun 28, 2020 at 13:05 | history | edited | Michael Albanese | CC BY-SA 4.0 |
added 771 characters in body
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| Jun 27, 2020 at 23:03 | vote | accept | Eduardo Longa | ||
| Jun 27, 2020 at 22:55 | comment | added | Michael Albanese | It is a circle bundle over an aspherical manifold. In general, if you have a fiber bundle with two of the three spaces aspherical, then it follows for the long exact sequence in homotopy that the third is also aspherical. Alternatively, one can show directly that a circle bundle over $\Sigma_{\gamma}$ for $\gamma \geq 1$ has universal cover $\mathbb{R}^3$. | |
| Jun 27, 2020 at 22:51 | comment | added | Eduardo Longa | Thank you for your answer. Why is $M$ aspherical? | |
| Jun 27, 2020 at 22:46 | history | answered | Michael Albanese | CC BY-SA 4.0 |