Gluing localized mirror functors
Files
First author draft
Date
2018-10-04
DOI
Authors
Lau, Siu
Cho, Cheol-Hyun
Hong, Hansol
Version
First author draft
OA Version
Citation
Siu Lau, Cheol-Hyun Cho, Hansol Hong. 2018. "Gluing Localized Mirror Functors." arXiv,
Abstract
We develop a method of gluing the local mirrors and functors constructed from immersed Lagrangians in the same deformation class. As a result, we obtain a global mirror geometry and a canonical mirror functor. We apply the method to construct the mirrors of punctured Riemann surfaces and show that our functor derives homological mirror symmetry.