Periods of mirrors and multiple zeta values

Abstract

In a recent paper, A. Libgober showed that the multiplicative sequence Qi(c1,...,ci) of Chern classes corresponding to the power series Q(z)=1/Gamma(1+z) appears in a relation between the Chern classes of certain Calabi-Yau manifolds and the periods of their mirrors. We show that the polynomials Qi can be expressed in terms of multiple zeta values.

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