Gluing Localized Mirror Functors

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 o...

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Bibliographic Details
Main Authors Cho, Cheol-Hyun, Hong, Hansol, Lau, Siu-Cheong
Format Journal Article
LanguageEnglish
Published 03.10.2018
Subjects
Mathematics - Symplectic Geometry
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Summary: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.
DOI:10.48550/arxiv.1810.02045