Apéry constants of homogeneous varieties

Abstract

For Fano manifolds we define Apéry constants and Apéry class as particular limits of ratios of coefficients of solutions of the quantum differential equation. We do numerical computations in case of homogeneous varieties. These numbers are identified to be polynomials in the values of Riemann zeta-function with natural arguments.

12 pages, preprint circa Dec 2008 was available from author's website, self-arxived 'as is' for easy references