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Periods of mirrors and multiple zeta values
Authors:Michael E. Hoffman
Affiliation:United States Naval Academy, Annapolis, Maryland 21402
Abstract:In a recent paper, A. Libgober showed that the multiplicative sequence ${Q_i(c_1,dots,c_i)}$ of Chern classes corresponding to the power series $Q(z)=Gamma(1+z)^{-1}$ appears in a relation between the Chern classes of certain Calabi-Yau manifolds and the periods of their mirrors. We show that the polynomials $Q_i$ can be expressed in terms of multiple zeta values.

Keywords:Mirror symmetry   multiple zeta values   gamma function
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