A character on the quasi-symmetric functions coming from multiple zeta values.
A global mirror symmetry framework for the Landau–Ginzburg/Calabi–Yau correspondence
We show how the Landau–Ginzburg/Calabi–Yau correspondence for the quintic three-fold can be cast into a global mirror symmetry framework. Then we draw inspiration from Berglund–Hübsch mirror duality construction to provide an analogue conjectural picture featuring all Calabi–Yau hypersurfaces within weighted projective spaces and certain quotients by finite abelian group actions.
A mathematical proof of a formula of Aspinwall and Morrison
A proof of the birationality of certain BHK-mirrors
We generalize and give an elementary proof of Kelly’s refinement [9] of Shoemaker’s result [11] on the birationality of certain BHK-mirrors. Our approach uses a construction that is equivalent to the Krawitz generalization [10] of the duality in Berglund-Hübsch [2].
An extension of the Apéry number supercongruence