Timeline for Hyperbolic exceptional fillings of cusped hyperbolic 3-manifolds
Current License: CC BY-SA 3.0
5 events
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| Sep 9, 2020 at 3:06 | comment | added | Bin Yu | @Autumn Theorem 5.12 of their paper also consider several cusps case. For instance, two cusps case: if do two Dehn filling along the two tori. Their thm tell us if we exclude 60 slopes for 1st torus and 114 slopes for 2nd, then the sugeried mfd is hyp. I have one further question: if we do 1st Dehn filling in their 60 slopes so that the sugeried one-cusped 3-mfd is hyperbolic. Whether their proof can ensure that "if we do 2st Dehn filling excluding their 114 slopes, then the sugeried closed 3-mfd is hyperbolic "? | |
| Feb 14, 2013 at 18:35 | vote | accept | Ken Baker | ||
| Feb 14, 2013 at 17:38 | comment | added | Autumn Kent | I'm not sure if 60 is realizable or not. I think that a random choice of a knot in a hyperbolic $M$ should have all filled manifolds hyperbolic, but getting all 60 slopes to be bad for hyperbolic filling seems kinda tough. You could start with the worst cusp cross section that gives you 60 short slopes, and try and build $M$ around it. | |
| Feb 14, 2013 at 16:22 | comment | added | Ken Baker | So I reckon it's possible to concoct examples that realize this bound, no? And in particular such examples for which all the filled manifolds are hyperbolic? | |
| Feb 14, 2013 at 14:33 | history | answered | Autumn Kent | CC BY-SA 3.0 |