English

Homological Mirror Symmetry in Dimension One

Algebraic Geometry 2007-05-23 v1

Abstract

In this paper we complete the proof began by A. Polishchuk and E. Zaslow (math.AG/9801119) of a weak version of Kontsevich's homological mirror symmetry conjecture for elliptic curves. The main difference to the work of Polishchuk and Zaslow is that we consider morphisms between any pair of objects, not only in the transversal case. This enables us to show the conjectured equivalence of categories.

Keywords

Cite

@article{arxiv.math/0012018,
  title  = {Homological Mirror Symmetry in Dimension One},
  author = {Bernd Kreussler},
  journal= {arXiv preprint arXiv:math/0012018},
  year   = {2007}
}

Comments

20 pages, LaTeX2e

R2 v1 2026-07-22T16:36:10.304Z