English

Mirror symmetry and C^\times

Algebraic Geometry 2007-05-23 v1 Combinatorics

Abstract

We show that counting functions of covers of C×\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.

Keywords

Cite

@article{arxiv.math/0004178,
  title  = {Mirror symmetry and C^\times},
  author = {Nobuyoshi Takahashi},
  journal= {arXiv preprint arXiv:math/0004178},
  year   = {2007}
}

Comments

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

R2 v1 2026-07-22T16:32:25.988Z