2015/01/04 by Andrew Port, Port, Andrew
Mathematics · #53D37 #FOS: Mathematics #Symplectic Geometry (math.SG) #math.SG #msc:53D37
paper · pdf · doi:10.48550/arxiv.1501.00730
43 pages, 2 figures
arxiv created 2015/01/04 · arxiv updated 2015/01/06
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.