Mirror symmetry and C^\times

Details Mirror symmetry and C^\times Mirror symmetry and C^\times

2000-04-28

arxiv.org/abs/math/0004178v1

Mathematics

Algebraic Geometry

8 pages, 3 figures, AMS-LaTeX, to appear in Proc. Amer. Math. Soc

Scientific paper

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 by Dijkgraaf.

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