Periods of mirrors and multiple zeta values

Hoffman, Michael

doi:10.1090/S0002-9939-01-06263-3

Periods of mirrors and multiple zeta values
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by Michael E. Hoffman

Proc. Amer. Math. Soc. 130 (2002), 971-974

DOI: https://doi.org/10.1090/S0002-9939-01-06263-3

Published electronically: October 5, 2001

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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.

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