Document Type

Article

Publication Date

2024

Published In

Annals Of Global Analysis And Geometry

Abstract

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.

Keywords

Sasakian, Fano, Orbifold, Einstein

Comments

This work is a preprint that is freely available courtesy of Springer. The version of record can be freely accessed via SpringerNature's SharedIt service.

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