vix.ing · top · new · best · stats · spec

An Introduction to Homological Mirror Symmetry and the Case of Elliptic Curves

2015/01/04 by Port, Andrew
#53D37 #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.1501.00730

Abstract

Here we carefully construct an equivalence between the derived category of coherent sheaves on an elliptic curve and a version of the Fukaya category on its mirror. This is the most accessible case of homological mirror symmetry. We also provide introductory background on the general Calabi-Yau case of The Homological Mirror Symmetry Conjecture.

Related