%0 Journal Article %T Exceptional String: Instanton Expansions and Seiberg-Witten Curve %A Kenji Mohri %J Mathematics %D 2001 %I arXiv %R 10.1142/S0129055X02001466 %X We investigate instanton expansions of partition functions of several toric E-string models using local mirror symmetry and elliptic modular forms. We also develop a method to obtain the Seiberg--Witten curve of E-string with arbitrary Wilson lines with the help of elliptic functions. %U http://arxiv.org/abs/hep-th/0110121v4