Timeline for Hakenness of Heegard splitting
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Mar 25, 2014 at 15:49 | comment | added | Igor Rivin | Ian, yes, that would be interesting, if you could dredge it up.. Thanks! | |
| Mar 25, 2014 at 15:12 | comment | added | Ian Agol | @IgorRivin: Ok, that clarifies things. Hyam Rubinstein gave some conditions a while back to imply that a genus 2 Heegaard splitting will have an incompressible surface in terms of the curve complex. If you like, I could try to recall that and spell it out. In some sense, the construction is a generalization of Hatcher-Thurston for incompressible surfaces in 2-bridge links. | |
| Mar 25, 2014 at 14:17 | comment | added | Igor Rivin | Well-known to some :) I am actually interested in things with high curve complex distance, which means that (a) the criterion you mention does not apply but also (b) by a result of one Kevin Hartshorn the genus of an incompressible surface is big (if there is one at all, that is). | |
| Mar 25, 2014 at 14:00 | history | answered | Ian Agol | CC BY-SA 3.0 |