Skip to main content
MathOverflow

Return to Question

included full citation - so that the paper is identifiable in the case of link rot
Source Link
Martin Sleziak
Martin Sleziak
  • 4.7k
  • 4
  • 35
  • 40

Is there a known example of a Calabi-Yau manifold (say,a a Kähler compact manifold with $c_1$ torsion) with finite simple (non cyclic) fundamental group, for instance $\mathfrak{A}_5$? I am pretty sure such an example is not known in dimension 3 (see this paper1), but perhaps it is easier to find it in higher dimension (?).

1Davies, Rhys, The expanding zoo of Calabi-Yau threefolds, Adv. High Energy Phys. 2011, Article ID 901898, 18 p. (2011). ZBL1234.81110, MR2821564.

Is there a known example of a Calabi-Yau manifold (say,a Kähler compact manifold with $c_1$ torsion) with finite simple (non cyclic) fundamental group, for instance $\mathfrak{A}_5$? I am pretty sure such an example is not known in dimension 3 (see this paper), but perhaps it is easier to find it in higher dimension (?).

Is there a known example of a Calabi-Yau manifold (say, a Kähler compact manifold with $c_1$ torsion) with finite simple (non cyclic) fundamental group, for instance $\mathfrak{A}_5$? I am pretty sure such an example is not known in dimension 3 (see this paper1), but perhaps it is easier to find it in higher dimension (?).

1Davies, Rhys, The expanding zoo of Calabi-Yau threefolds, Adv. High Energy Phys. 2011, Article ID 901898, 18 p. (2011). ZBL1234.81110, MR2821564.

Source Link
abx
abx
  • 38k
  • 3
  • 86
  • 146

A Calabi-Yau manifold with finite simple fundamental group?

Is there a known example of a Calabi-Yau manifold (say,a Kähler compact manifold with $c_1$ torsion) with finite simple (non cyclic) fundamental group, for instance $\mathfrak{A}_5$? I am pretty sure such an example is not known in dimension 3 (see this paper), but perhaps it is easier to find it in higher dimension (?).