hi Boud, cos-top,
yes! N8-N10 that are orbifolds.
In arXiv:1201.1875 N8-N10 are also called orbifolds. In this paper one finds the orbifold N11.
Best, Sven
Zitat von Boud Roukema boud@astro.uni.torun.pl:
hi Sven, cos-top,
On Thu, 10 May 2012, sven.lustig uni-ulm.de wrote:
Zitat von Boud Roukema <boud astro.uni.torun.pl>:
In the notation of Peter Kramer N1-N7 are platonic manifolds. In contrast N8-N11 are orbifolds. These orbifolds are generated from platonic manifolds using their discret rotation symmetry.
Thanks for the correction - I think you are saying that these are orbifolds that are not manifolds. Is that right?
From what I understand (e.g. [1] and discussions with Jeff and Vincent), manifold without boundary \Rightarrow orbifold, but orbifold \not\Rightarrow manifold.
So that means that the word descriptions of N8-N10 in http://arxiv.org/abs/1009.5825 (v1 and published version) are incorrect in the sense that these are not 3-manifolds, although they are 3-orbifolds.
Also, do you mean N8-N10? I don't see N11 defined in 1009.5285.
cheers boud
[1] http://en.wikipedia.org/wiki/Orbifold
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