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

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

Published electronically:
October 5, 2001

MathSciNet review:
1873769

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Abstract | References | Similar Articles | Additional Information

Abstract: In a recent paper, A. Libgober showed that the multiplicative sequence of Chern classes corresponding to the power series appears in a relation between the Chern classes of certain Calabi-Yau manifolds and the periods of their mirrors. We show that the polynomials 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

Email:
meh@usna.edu

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

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