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- Title
Berglund–Hübsch transpose rule and Sasakian geometry.
- Authors
Gomez, Ralph R.
- 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 2 n + 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.
- Subjects
EINSTEIN, Albert, 1879-1955; SASAKIAN manifolds; GEOMETRY; MIRROR symmetry; PROJECTIVE spaces; EINSTEIN manifolds; ORBIFOLDS; CURVATURE
- Publication
Annals of Global Analysis & Geometry, 2024, Vol 65, Issue 1, p1
- ISSN
0232-704X
- Publication type
Article
- DOI
10.1007/s10455-023-09932-x