Local Homological Mirror Symmetry
Si-Yang Liu, Kyungmin Rho
Abstract
Local mirror symmetry, originated from the work of Chiang-Klemm-Yau-Zaslow arXiv:9903053, indicated a potential relation between mirrors to a vector bundle and mirrors to its zero section. In this paper, we constructed a homological mirror to these local varieties and proved the corresponding Homological Mirror Symmetry statement. As an application, we constructed infinite families of exotic Weinstein sectors as mirrors to Hirzebruch surfaces.
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