Timeline for What are the implications of the simple loop conjecture?
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Sep 16, 2019 at 10:28 | comment | added | HJRW | @JoelHass: Indeed. I haven't yet encountered anyone who understands the proof, though (and I haven't spoken to Vlad himself about it). | |
| Sep 14, 2019 at 2:32 | comment | added | Joel Hass | There appears to be a proof. See Vlad Markovic Harmonic surfaces in 3-manifolds and the Simple Loop Theorem, at its.caltech.edu/~markovic/preprints.html | |
| Dec 5, 2015 at 21:22 | vote | accept | Daniel Moskovich | ||
| Dec 1, 2015 at 9:27 | comment | added | HJRW | Right. I only wanted to describe the understanding as 'fairly complete' because the SLC wouldn't say anything about $\pi_1$-injective surfaces. Somehow, the Makanin--Razborov framework only classifies the kernel, not the image. | |
| Nov 30, 2015 at 21:58 | comment | added | Ian Agol | The "fairly complete understanding" would mean something like: every map of a surface is obtained (up to homotopy) by a map of a $\pi_1$-injective surface with some handles attached along maps of arcs in the manifold with endpoints on the surface. | |
| Nov 30, 2015 at 21:39 | history | edited | HJRW | CC BY-SA 3.0 |
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| Nov 30, 2015 at 21:27 | history | answered | HJRW | CC BY-SA 3.0 |