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Periods of mirrors and multiple zeta values

Author: Michael E. Hoffman
Journal: Proc. Amer. Math. Soc. 130 (2002), 971-974
MSC (2000): Primary 14J32, 11M41; Secondary 05E05
Published electronically: October 5, 2001
MathSciNet review: 1873769
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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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Additional Information

Michael E. Hoffman
Affiliation: United States Naval Academy, Annapolis, Maryland 21402

Keywords: Mirror symmetry, multiple zeta values, gamma function
Received by editor(s): November 23, 1999
Received by editor(s) in revised form: October 18, 2000
Published electronically: October 5, 2001
Communicated by: Michael Stillman
Article copyright: © Copyright 2001 American Mathematical Society