Timeline for What is the three-dimensional hyperbolic volume of a four-manifold?
Current License: CC BY-SA 3.0
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| Apr 2, 2023 at 16:36 | comment | added | Ian Agol | I think this might be related to this question: mathoverflow.net/q/19974/1345 In particular, if the 3-dimensional volume is zero, I suspect that the manifold admits an F-structure, and the simplicial volume is zero (and likely minimal volume =0). The point is that the circle action on a Seifert manifold M extends over dehn fillings and attaching 2-handles along MxI. If all of the level sets of a Morse function on a 4-manifold are graph manifolds (and the complements of the 2-handles attaching maps), then I think that these local circle actions may be assembled to get an F-structure. | |
| Oct 24, 2012 at 13:59 | history | edited | Bruno Martelli |
+ tag
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| Jul 11, 2011 at 9:01 | comment | added | Dmitri Panov | This question sounds a bit similar to what is written in the last lines of a recent article of Gromov and Guth : arxiv.org/abs/1103.3423 | |
| Jul 10, 2011 at 20:10 | history | edited | Bruno Martelli | CC BY-SA 3.0 |
added 1 characters in body; edited tags
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| Jul 8, 2011 at 20:29 | history | edited | Joseph O'Rourke | CC BY-SA 3.0 |
Fixed latex rendering with backquotes.
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| Jul 8, 2011 at 19:14 | history | asked | Bruno Martelli | CC BY-SA 3.0 |