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Mirror symmetry and $\mathbb{C}^\times$

Author(s): Nobuyoshi Takahashi
Journal: Proc. Amer. Math. Soc. 129 (2001), 29-36.
MSC (2000): Primary 14N10; Secondary 05A15, 20B30
Posted: September 14, 2000
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Abstract:

We show that counting functions of covers of $\mathbb{C}^\times$ are equal to sums of integrals associated to certain `Feynman' graphs. This is an analogue of the mirror symmetry for elliptic curves.

References:

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Additional Information:

Nobuyoshi Takahashi
Affiliation: Department of Mathematics, Hiroshima University, Higashi-Hiroshima 739-8526, Japan
Email: takahasi@math.sci.hiroshima-u.ac.jp

DOI: 10.1090/S0002-9939-00-05901-3
PII: S 0002-9939(00)05901-3
Received by editor(s): March 15, 1999
Posted: September 14, 2000
Communicated by: Ron Donagi
Copyright of article: Copyright 2000, American Mathematical Society

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