English

A remark about mirror symmetry of elliptic curves and generalized complex geometry

Differential Geometry 2015-09-18 v2

Abstract

In this short note we prove that in the case of elliptic curves, the isomorphism of generalized complex structure between TT-dual manifolds described by Cavalcanti-Gualtieri coincides with the mirror map for elliptic curves described by Polishchuk and Zaslow.

Keywords

Cite

@article{arxiv.1506.03665,
  title  = {A remark about mirror symmetry of elliptic curves and generalized complex geometry},
  author = {Leonardo Soriani Alves and Lino Grama},
  journal= {arXiv preprint arXiv:1506.03665},
  year   = {2015}
}