Annals Of Global Analysis And Geometry
We apply the Berglund–Hübsch transpose rule from BHK mirror symmetry to show that to an n−1-dimensional Calabi–Yau orbifold in weighted projective space defined by an invertible polynomial, we can associate four (possibly) distinct Sasaki manifolds of dimension 2n+1 which are n−1-connected and admit a metric of positive Ricci curvature. We apply this theorem to show that for a given K3 orbifold, there exist four seven-dimensional Sasakian manifolds of positive Ricci curvature, two of which are actually Sasaki–Einstein.
Sasakian, Fano, Orbifold, Einstein
Ralph R. Gomez.
"Berglund–Hübsch Transpose Rule And Sasakian Geometry".
Annals Of Global Analysis And Geometry.
Available for download on Sunday, December 01, 2024