2 papers
math.DG2024
Non-existence of extremal Sasaki metrics via the Berglund-Hübsch transpose
Jaime Cuadros Valle, Ralph R. Gomez, Joe Lope Vicente
We use the Berglund-Hübsch transpose rule from classical mirror symmetry in the context of Sasakian geometry and results on relative K-stability in the Sasaki setting developed by…
math.DG2023
Beglund-Hübsch transpose and Sasaki-Einstein rational homology 7-spheres
Jaime Cuadros Valle, Ralph R. Gomez, Joe Lope Vicente
We show that links of invertible polynomials coming from the Johnson and Kollár list of Kähler-Einstein 3-folds that are rational homology 7-spheres remain rational homology 7-sphe…