Gluing localized mirror functors
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First author draft
Citation (published version)Siu Lau, Cheol-Hyun Cho, Hansol Hong. 2018. "Gluing Localized Mirror Functors." arXiv,
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.