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Mirror Symmetry, Zeta Functions and Mackey Functors

Mirror Symmetry, Zeta Functions and Mackey Functors

We present two alternative and new proofs for the duality between orbifold zeta functions of Berglund-Hubsch dual invertible polynomials. We re-prove the following theorem; Assume W and WT are dual invertible polynomials in n+2 variables. Denote by (XW, G) and (XWT ; GT) the corresponding Berglund-Hubsch dual hypersurfaces in Pn+1, …